Relevant bibliographies by topics / Semistable

Academic literature on the topic 'Semistable'

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Published: 8 June 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Journal articles on the topic "Semistable":

1

LI, LINGGUANG. "ON A CONJECTURE OF LAN–SHENG–ZUO ON SEMISTABLE HIGGS BUNDLES: RANK 3 CASE." International Journal of Mathematics 25, no. 02 (February 2014): 1450013. http://dx.doi.org/10.1142/s0129167x1450013x.

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Let X be a smooth projective curve of genus g over an algebraically closed field k of characteristic p > 2. We prove that any rank 3 nilpotent semistable Higgs bundle (E, θ) on X is a strongly semistable Higgs bundle. This gives a partially affirmative answer to a conjecture of Lan–Sheng–Zuo [Semistable Higgs bundles and representations of algebraic fundamental groups: positive characteristic case, preprint (2012), arXiv:1210.8280][(Very recently, A. Langer [Semistable modules over Lie algebroids in positive characteristic, preprint (2013), arXiv:1311.2794] and independently Lan–Sheng–Yang–Zuo [Semistable Higgs bundles of small ranks are strongly Higgs semistable, preprint (2013), arXiv:1311.2405] have proven the conjecture for ranks less than or equal to p case.)] In addition, we prove a tensor product theorem for strongly semistable Higgs bundles with p satisfying some bounds (Theorem 4.3). From this we reprove a tensor theorem for semistable Higgs bundles on the condition that the Lan–Sheng–Zuo conjecture holds (Corollary 4.4).
2

Andreatta, Fabrizio, and Adrian Iovita. "Semistable Sheaves and Comparison Isomorphisms in the Semistable Case." Rendiconti del Seminario Matematico della Università di Padova 128 (2012): 131–285. http://dx.doi.org/10.4171/rsmup/128-7.

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Mihalik, Michael L. "Bounded Depth Ascending HNN Extensions and -Semistability at infinity." Canadian Journal of Mathematics 72, no. 6 (July 22, 2019): 1529–50. http://dx.doi.org/10.4153/s0008414x19000385.

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AbstractA well-known conjecture is that all finitely presented groups have semistable fundamental groups at infinity. A class of groups whose members have not been shown to be semistable at infinity is the class ${\mathcal{A}}$ of finitely presented groups that are ascending HNN-extensions with finitely generated base. The class ${\mathcal{A}}$ naturally partitions into two non-empty subclasses, those that have “bounded” and “unbounded” depth. Using new methods introduced in a companion paper we show those of bounded depth have semistable fundamental group at infinity. Ascending HNN extensions produced by Ol’shanskii–Sapir and Grigorchuk (for other reasons), and once considered potential non-semistable examples are shown to have bounded depth. Finally, we devise a technique for producing explicit examples with unbounded depth. These examples are perhaps the best candidates to date in the search for a group with non-semistable fundamental group at infinity.
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Pancheva, E. "Max-semistable laws." Journal of Mathematical Sciences 76, no. 1 (August 1995): 2177–80. http://dx.doi.org/10.1007/bf02363231.

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Hacking, Paul. "Semistable divisorial contractions." Journal of Algebra 278, no. 1 (August 2004): 173–86. http://dx.doi.org/10.1016/j.jalgebra.2004.03.008.

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Bayer, Arend, Martí Lahoz, Emanuele Macrì, Howard Nuer, Alexander Perry, and Paolo Stellari. "Stability conditions in families." Publications mathématiques de l'IHÉS 133, no. 1 (May 17, 2021): 157–325. http://dx.doi.org/10.1007/s10240-021-00124-6.

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AbstractWe develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based on and generalizes previous work by Abramovich–Polishchuk, Kuznetsov, Lieblich, and Piyaratne–Toda. Our notion includes openness of stability, semistable reduction, a support property uniformly across the family, and boundedness of semistable objects. We show that such a structure exists whenever stability conditions are known to exist on the fibers.Our main application is the generalization of Mukai’s theory for moduli spaces of semistable sheaves on K3 surfaces to moduli spaces of Bridgeland semistable objects in the Kuznetsov component associated to a cubic fourfold. This leads to the extension of theorems by Addington–Thomas and Huybrechts on the derived category of special cubic fourfolds, to a new proof of the integral Hodge conjecture, and to the construction of an infinite series of unirational locally complete families of polarized hyperkähler manifolds of K3 type.Other applications include the deformation-invariance of Donaldson–Thomas invariants counting Bridgeland stable objects on Calabi–Yau threefolds, and a method for constructing stability conditions on threefolds via degeneration.
7

Meerschaert, Mark M., and Hans-Peter Scheffler. "Series representation for semistable laws and their domains of semistable attraction." Journal of Theoretical Probability 9, no. 4 (October 1996): 931–59. http://dx.doi.org/10.1007/bf02214258.

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Rajput, Balram S., and Kavi Rama-Murthy. "Spectral representation of semistable processes, and semistable laws on Banach spaces." Journal of Multivariate Analysis 21, no. 1 (February 1987): 139–57. http://dx.doi.org/10.1016/0047-259x(87)90103-5.

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Shimizu, Koji. "A -adic monodromy theorem for de Rham local systems." Compositio Mathematica 158, no. 12 (December 2022): 2157–205. http://dx.doi.org/10.1112/s0010437x2200776x.

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We study horizontal semistable and horizontal de Rham representations of the absolute Galois group of a certain smooth affinoid over a $p$ -adic field. In particular, we prove that a horizontal de Rham representation becomes horizontal semistable after a finite extension of the base field. As an application, we show that every de Rham local system on a smooth rigid analytic variety becomes horizontal semistable étale locally around every classical point. We also discuss potentially crystalline loci of de Rham local systems and cohomologically potentially good reduction loci of smooth proper morphisms.
10

Fujita, Kento. "On Berman–Gibbs stability and K-stability of -Fano varieties." Compositio Mathematica 152, no. 2 (November 26, 2015): 288–98. http://dx.doi.org/10.1112/s0010437x1500768x.

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The notion of Berman–Gibbs stability was originally introduced by Berman for $\mathbb{Q}$-Fano varieties $X$. We show that the pair $(X,-K_{X})$ is K-stable (respectively K-semistable) provided that $X$ is Berman–Gibbs stable (respectively semistable).
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Journal articles Dissertations / Theses

Dissertations / Theses on the topic "Semistable":

1

Kaid, Almar Alaa. "On semistable and strongly semistable syzygy bundles." Thesis, University of Sheffield, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.538073.

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Zúñiga, Javier. "Semistable Graph Homology." Pontificia Universidad Católica del Perú, 2016. http://repositorio.pucp.edu.pe/index/handle/123456789/96300.

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Using the orbicell decomposition of the Deligne-Mumford compactification of the moduli space of Riemann surfaces studied before by the author, a chain complex based on semistable ribbon graphs is constructed which is an extension of the Konsevich’s graph homology.
En este trabajo mediante la descomposicion orbicelular de la compacticacion de Deligne-Mumford del espacio de moduli de supercies de Riemann (estudiada antes por el autor) construimos un complejo basado en grafos de cinta semiestables, lo cual constituye una extension de la homologa de grafos de Kontsevich.
3

Derbyshire, Sam Luc. "Hodge numbers of semistable representations." Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/hodge-numbers-of-semistable-representations(9db3316a-0448-43f9-80c4-a2c0656ec177).html.

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Part I of this thesis concerns the relation, in p-adic Hodge theory, between the monodromy and the Hodge numbers of a filtered (φ, N)-module D. Studying the interaction of the Hodge and Newton polygons with N, we deduce that a monodromy operator of large rank forces the Hodge numbers of D to be large: this is the content of Theorem I.14.4. This result can then be applied to various Galois representations. For instance, starting with a Hilbert modular form f over a totally real field F , it is known that we can attach to it a global p-adic Galois representation pf: GF͢ GL2(E), for E/Qp some ënite extension. Choosing a prime p of F above p, we can then study the local p-adic Galois representation pf, p: GGFp GL2(E). Assuming that pf;p is semistable with matching Hodge–Tate weights, we can then use Fontaine–Dieudonné theory to obtain a filtered (φ, N)-module Dst (ρf, p). Applying Theorem I.14.4, we deduce that if the weights of f are too small, then ρf, p is in fact crystalline. We also present in section I.16.1 an example of a non-split semistable non-crystalline extension of crystalline characters which is not “trivial by cyclotomic”, even up to twists. In part II, we explore parallel results on the automorphic side of the Langlands correspondence. Concentrating on the case of Hilbert modular forms, the approach is to study the p-adic integrality properties of Hecke operators. This naturally leads to the study of integral models of Hilbert modular varieties and of their associated automorphic vector bundles. A careful study of these leads to the introduction of certain renormalisation factors for the action of Hecke operators (Proposition II.5.2). We then prove the integrality of these renormalised Hecke operators using the q-expansion principle (Proposition II.5.4). Finally, we use these integrality properties to arrive at conditions, dependent on the weight of a Hilbert modular form f , that guarantee that local components of f cannot be special; is the content of Τheorem II.6.2. For instance, in the case that there is a unique prime p above p in F, corresponding to the local component πf, p is a unique filtered ( φ,N, GFp)-module Df, p, and the results of Theorem I.14.4 and Theorem II.6.2 exactly match: if the weights ντ of f do not average at least 2, the former theorem shows that Df,p is potentially crystalline, while the latter shows that πf, p cannot be special. Other interesting behaviour can occur depending on the splitting behaviour of p in F , such as conditions on all pairs of weights of f as in the final example of section 6.2.1.
4

Pavel, Mihai-Cosmin. "Moduli spaces of semistable sheaves." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0125.

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Dans cette thèse nous construisons des espaces de modules de faisceaux semi-stables sur une variété projective complexe lisse X, dotée d'une polarisation fixée sheaf{O}_X(1). Notre approche suit les idées de Le Potier et Jun Li, qui ont construit indépendamment des espaces de modules de faisceaux sans torsion, semi-stables par rapport à la pente sur des surfaces (projectives). Leurs espaces sont en relation, par la correspondance Kobayashi-Hitchin, avec la compactification de Donaldson-Uhlenbeck en théorie de jauge. Ici, cependant, nous sommes principalement intéressés par les aspects algébriques de leur travail. En particulier, cette thèse généralise leur construction au cas des faisceaux purs de dimension supérieure, dont le schéma de support peut être singulier. Nous introduisons d'abord une notion de stabilité pour les faisceaux cohérents purs de dimension d sur X, qui se situe entre la stabilité par rapport à la pente et la stabilité de Gieseker. Cette notion est définie par rapport au polynôme de Hilbert du faisceau, tronqué jusqu'à un certain degré. Nous l'appelons ell-(semi)stabilité, où ell marque le niveau de troncature. En particulier, on retrouve la notion classique de stabilité par rapport à la pente pour ell = 1 et de Gieseker-stabilité pour ell = d. Notre construction utilise comme ingrédient principal un théorème de restriction pour la (semi-)stabilité, disant que la restriction d'un faisceau ell-semistable (ou ell-stable) à un diviseur général D in |sheaf{O}_X(a)| de degré suffisamment grand dans X est à nouveau ell-semistable (respectivement ell-stable). À cet égard, dans le Chapitre 2, nous prouvons plusieurs théorèmes de restriction pour les faisceaux purs (voir les Théorèmes ef{thm:GiesekerRestriction},ef{thm:restrictionStable} etef{thm:ThmC}). Les méthodes utilisées dans la preuve nous permettent de donner des énoncés en caractéristique quelconque. De plus, nos résultats généralisent les théorèmes de restriction de Mehta et Ramanathan pour la (semi-)stabilité par rapport à la pente, et ils s'appliquent en particulier aux faisceaux Gieseker-semistables. Avant de donner la construction, nous faisons un bref détour pour généraliser la fibration d'Iitaka classique au cadre équivariant. Nous construisons alors des espaces de modules projectifs de faisceaux ell-semistables en dimensions supérieures, comme certaines fibrations d'Iitaka équivariantes (voir le Théorème~ef{thm:mainThm}). Notre construction est nouvelle dans la littérature lorsque 1 < ell < d ou lorsque ell=1 et d < dim(X). En particulier, dans le cas des faisceaux sans torsion, nous récupérons un résultat de Huybrechts-Lehn sur les surfaces et de Greb-Toma en dimensions supérieures. Enfin, nous décrivons en détail les points géométriques de ces espaces de modules (voir le Théorème~ef{thm:separation}). Comme application, nous montrons que dans le cas sans torsion, ils fournissent des compactifications différentes sur le lieu ouvert des fibrés vectoriels stables par rapport à la pente. Nous pouvons considérer ces espaces comme des compactifications intermédiaires entre la compactification de Gieseker et la compactification de Donaldson-Uhlenbeck
In this thesis we construct moduli spaces of semistable sheaves over a complex smooth projective variety X, endowed with a fixed polarization sheaf{O}_X(1). Our approach is based on ideas of Le Potier and Jun Li, who independently constructed moduli spaces of slope-semistable torsion-free sheaves over (projective) surfaces. Their spaces are closely related, via the Kobayashi-Hitchin correspondence, to the so-called Donaldson-Uhlenbeck compactification in gauge theory. Here, however, we are mainly interested in the algebraical aspects of their work. In a restrictive sense, this thesis generalizes their construction to higher dimensional pure sheaves, whose support scheme might be singular. First we introduce a notion of stability for pure coherent sheaves of dimension d on X, which lies between slope- and Gieseker-stability. This is defined with respect to the Hilbert polynomial of the sheaf, truncated down to a certain degree. We call it ell-(semi)stability, where ell marks the level of truncation. In particular, this recovers the classical notion of slope-stability for ell =1 and of Gieseker-stability for ell = d. Our construction uses as main ingredient a restriction theorem for (semi)stability, saying that the restriction of an ell-semistable (or ell-stable) sheaf to a general divisor D in |sheaf{O}_X(a)| of sufficiently large degree in X is again ell-semistable (respectively ell-stable). In this regard, in Chapter~ef{ch:RestrictionTheorems} we prove several restriction theorems for pure sheaves (see Theorems~ef{thm:GiesekerRestriction},ef{thm:restrictionStable} and ef{thm:ThmC}). The methods employed in the proofs permit us to give statements in arbitrary characteristic. Furthermore, our results generalize the restriction theorems of Mehta and Ramanathan for slope-(semi)stability, and they apply in particular to Gieseker-semistable sheaves. Before we give the construction, we take a short detour to generalize the classical Iitaka fibration to the equivariant setting. Given this, we construct projective moduli spaces of ell-semistable sheaves in higher dimensions as certain equivariant Iitaka fibrations (see Theorem~ef{thm:mainThm}). Our construction is new in the literature when 1
5

Vanumamalai, KarthikKalathi. "DEBRIS TRACKING IN A SEMISTABLE BACKGROUND." Master's thesis, University of Central Florida, 2005. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2113.

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Object Tracking plays a very pivotal role in many computer vision applications such as video surveillance, human gesture recognition and object based video compressions such as MPEG-4. Automatic detection of any moving object and tracking its motion is always an important topic of computer vision and robotic fields. This thesis deals with the problem of detecting the presence of debris or any other unexpected objects in footage obtained during spacecraft launches, and this poses a challenge because of the non-stationary background. When the background is stationary, moving objects can be detected by frame differencing. Therefore there is a need for background stabilization before tracking any moving object in the scene. Here two problems are considered and in both footage from Space shuttle launch is considered with the objective to track any debris falling from the Shuttle. The proposed method registers two consecutive frames using FFT based image registration where the amount of transformation parameters (translation, rotation) is calculated automatically. This information is the next passed to a Kalman filtering stage which produces a mask image that is used to find high intensity areas which are of potential interest.
M.S.E.E.
Department of Electrical and Computer Engineering
Engineering and Computer Science
Electrical Engineering
6

Xia, Bingyu. "Moduli spaces of Bridgeland semistable complexes." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1491824968521162.

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Abe, Takeshi. "BOUNDEDNESS OF SEMISTABLE SHEAVES OF RANK FOUR." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150404.

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Coronica, Piero. "Semistable vector bundles on bubble tree surfaces." Thesis, Lille 1, 2015. http://www.theses.fr/2015LIL10064/document.

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La (semi)stabilité, introduite par Mumford en 1963, sert à la construction d'espaces de modules de fibrés vectoriels par les méthodes de GIT. Dans la frontière de l'espace de modules compactifié apparaissent des faisceaux non localement libres. La thèse vise à proposer un nouveau stock d'objets de frontière plus maniables, dans le cas de dimension 2 et de rang 2, qui sont des fibrés sur des arbres de bulles A ayant S comme racine. La motivation vient de la théorie de jauge et de l'étude par Nagaraj-Seshadri et Teixidor i Bigas des fibrés sur des courbes réductibles. La semistabilité sur A dépend d'une polarisation, c'est à dire, d'un fibré en droites ample. Le domaine des paramètres de la polarisation est bien plus petit et les fibrés semistables sont plus rares en dimension 2 que dans le cas de courbes. Pour certaines polarisations, on donne des critères de semistabilité des fibrés sur A en fonction de leurs restrictions aux composantes de A. Bien que les faisceaux étudiés sur A soient des fibrés, leur sous-faisceaux potentiellement déstabilisants peuvent être juste réflexifs. On entreprend alors la classification des faisceaux réflexifs sur des arbres de bulles, basée sur les travaux de Burban-Drozd. On étudie ensuite les déformations des fibrés arboriformes. Le résultat principal est qu'un fibré stable sur A, pour certaines polarisations, est toujours la limite de fibrés stables sur S. Enfin, on compare le stock des fibrés stables arboriformes, limites d'instantons de charge 2 sur le plan projectif, avec celui de Markushevich-Tikhomirov-Trautmann, obtenu par une autre approche
The (semi)stability, introduced by Mumford in 1963, was used for construction of moduli spaces of vector bundles by methods of GIT. In the boundary of the compactified moduli space appear non locally free sheaves. The thesis aims to propose a new stock of more manageable boundary objects, in the case of dimension 2 and rank 2, which are bundles on bubble trees A having S as root. Motivation comes from gauge theory and the study of bundles on reducible curves by Nagaraj-Seshadri and Teixidor i Bigas.The semistability on A depends on polarization, that is, on an ample line bundle. The domain of parameters of polarization is much smaller, and semistable bundles are more scarce in dimension 2 than in the case of curves. For certain polarizations, semistability criteria for bundles on A are given in terms of their restrictions to the components of A. Although the sheaves studied on A are bundles, their potentially destabilizing subsheaves can be just reflexive. Thence the classification of reflexive sheaves on bubble trees is undertaken, basing upon the work of Burban-Drozd. Next the deformations of tree-like bundles are studied. The main result is that a stable bundle on A, for certain polarizations, is always the limit of stable bundles on S. Finally, a comparison is made between the stock of stable tree-like bundles which are limits of instantons of charge 2 on the projective plane, and the one of Markushevich-Tikhomirov-Trautmann, obtained by a completely different approach
9

Di, Proietto Valentina. "On p-adic differential equations on semistable varieties." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426057.

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Let V be a complete discrete valuation ring of mixed characteristic (0,p), K be the fraction field and k be the residue field. We study p-adic differential equations on a semistable variety over V. We consider a proper semistable variety X over V and a relative normal crossing divisor D on it. We consider on X the open U defined by the complement of the divisor D and we call U_K and U_k the generic fiber and the special fiber respectively. In an analogous way we call D_K, X_K and D_k, X_k the generic and the special fiber of D, X. In the geometric situation described, we investigate the relations between algebraic differential equations on X_K and analytic differential equations on the rigid analytic space associated to the completion of X along its special fiber. The main result is the existence and the full faithfulness of an algebrization functor between the following categories: 1) the category of locally free overconvergent log isocrystals on the log pair (U_k,X_k), (where the log structure is defined by the divisor given by the union of X_k e D_k), with unipotent monodromy; 2) the category of modules with connection on U_K, regular along D_K, which admit an extension to modules with connection on X_K with nilpotent residue.
Sia V un anello di valutazione completo di caratteristica mista (0,p), sia K il campo delle frazioni e k il campo residuo. In questa tesi vengono studiate le equazioni differenziale p-adiche su una varieta' semistabile su V. Consideriamo una varieta' X propria e semistabile su V e un divisore D a incroci normali relativi, Denotiamo con U l'aperto di X definito dal complementare di D e indichiamo con U_K e U_k ripettivamente la fibra generica e la fibra speciale di U. Allo stesso modo chiamiamo X_K, D_K e X_k, D_k la fibra generica e la fibra speciale di X, D. In questa situazione geometrica studiamo le relazioni tra le equazioni differenziali algebriche su X_K e le equazioni differenziali analitiche definite sullo spazio analitico rigido associato al completamento di X lungo la sua fibra speciale. Il risultato principale di questa tesi e' l'esistenza e la piena fedelta' di un funtore tra le seguenti categorie: 1) la categoria dei log isocristalli localmente liberi surconvergenti definiti sulla log coppia (U_k,X_k), (dove la log e' definita dal divisore dato dall'unione di X_k e D_k), con monodromia unipotente; 2) la categoria dei moduli a connessione su U_K, regolari lungo D_K, che ammettono un' estensione a moduli a connessione su X_K con residuo nilpotente.
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Arzdorf, Kai [Verfasser]. "Semistable reduction of prime-cyclic Galois covers / Kai Arzdorf." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2012. http://d-nb.info/1024917754/34.

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Books on the topic "Semistable":

1

Potashnik, Natasha. Derived Categories of Moduli Spaces of Semistable Pairs over Curves. [New York, N.Y.?]: [publisher not identified], 2016.

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Belmans, Pieter, Wei Ho, and Aise Johan de Jong, eds. Stacks Project Expository Collection. Cambridge University Press, 2022. http://dx.doi.org/10.1017/9781009051897.

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The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.

Book chapters on the topic "Semistable":

1

Maejima, Makoto. "Semistable Distributions." In Lévy Processes, 169–83. Boston, MA: Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0197-7_8.

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Balaji, V. "Semistable Principal Bundles." In Advances in Algebra and Geometry, 129–45. Gurgaon: Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-12-5_10.

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McKay, John, and Abdellah Sebbar. "Arithmetic semistable elliptic surfaces." In CRM Proceedings and Lecture Notes, 119–30. Providence, Rhode Island: American Mathematical Society, 2001. http://dx.doi.org/10.1090/crmp/030/11.

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Schmitt, Alexander H. W. "Generically Semistable Linear Quiver Sheaves." In Springer Proceedings in Mathematics & Statistics, 393–415. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-67053-9_38.

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Bini, Gilberto, Fabio Felici, Margarida Melo, and Filippo Viviani. "A Stratification of the Semistable Locus." In Lecture Notes in Mathematics, 117–30. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11337-1_10.

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Bini, Gilberto, Fabio Felici, Margarida Melo, and Filippo Viviani. "Semistable, Polystable and Stable Points (Part I)." In Lecture Notes in Mathematics, 131–39. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11337-1_11.

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Bini, Gilberto, Fabio Felici, Margarida Melo, and Filippo Viviani. "Semistable, Polystable and Stable Points (Part II)." In Lecture Notes in Mathematics, 149–54. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11337-1_13.

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Brumer, Armand, and Kenneth Kramer. "Semistable Abelian Varieties with Small Division Fields." In Galois Theory and Modular Forms, 13–37. Boston, MA: Springer US, 2004. http://dx.doi.org/10.1007/978-1-4613-0249-0_2.

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Lávička, Roman. "Separation of Variables in the Semistable Range." In Trends in Mathematics, 395–403. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23854-4_19.

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Toda, Yukinobu. "Donaldson–Thomas Invariants for Bridgeland Semistable Objects." In SpringerBriefs in Mathematical Physics, 39–51. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7838-7_4.

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Conference papers on the topic "Semistable":

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ABRAMOVICH, D., and J. M. ROJAS. "EXTENDING TRIANGULATIONS AND SEMISTABLE REDUCTION." In Proceedings of SMALEFEST 2000. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778031_0001.

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Ishizakiy, Takayuki, Henrik Sandberg, Karl Henrik Johansson, Kenji Kashima, Jun-ichi Imura, and Kazuyuki Aihara. "Singular perturbation approximation of semistable linear systems." In 2013 European Control Conference (ECC). IEEE, 2013. http://dx.doi.org/10.23919/ecc.2013.6669434.

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Ziemann, Ingvar, and Yishao Zhou. "Model Reduction of Semistable Distributed Parameter Systems." In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8796051.

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Qing Hui. "Optimal semistable control for continuous-time coupled systems." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5531476.

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Haddad, Wassim M., Qing Hui, and VijaySekhar Chellaboina. "H2 optimal semistable control for linear dynamical systems: An LMI approach." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434337.

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Hui, Qing, and Zhenyi Liu. "A semistabilizability/semidetectability approach to semistable H2 and H∞ control problems." In 2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2011. http://dx.doi.org/10.1109/allerton.2011.6120217.

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Qing Hui and Wassim M. Haddad. "H2 optimal semistable stabilization for linear discrete-time dynamical systems with applications to network consensus." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434396.

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Cheng, Xiaodong, and Jacquelien M. A. Scherpen. "A new controllability Gramian for semistable systems and its application to approximation of directed networks." In 2017 IEEE 56th Annual Conference on Decision and Control (CDC). IEEE, 2017. http://dx.doi.org/10.1109/cdc.2017.8264221.

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Newcomb, R. W., C. Wooten, and B. Dziurla. "Semistate equivalency: the Lewis realization." In 29th IEEE Conference on Decision and Control. IEEE, 1990. http://dx.doi.org/10.1109/cdc.1990.203545.

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Syrmos, V. L., and F. L. Lewis. "Transmission Zero Assignment using Semistate Descriptions." In 1992 American Control Conference. IEEE, 1992. http://dx.doi.org/10.23919/acc.1992.4792183.

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To the bibliography