Дисертації з теми "Semistable"
Оформте джерело за APA, MLA, Chicago, Harvard та іншими стилями
Ознайомтеся з топ-26 дисертацій для дослідження на тему "Semistable".
Біля кожної праці в переліку літератури доступна кнопка «Додати до бібліографії». Скористайтеся нею – і ми автоматично оформимо бібліографічне посилання на обрану працю в потрібному вам стилі цитування: APA, MLA, «Гарвард», «Чикаго», «Ванкувер» тощо.
Також ви можете завантажити повний текст наукової публікації у форматі «.pdf» та прочитати онлайн анотацію до роботи, якщо відповідні параметри наявні в метаданих.
Переглядайте дисертації для різних дисциплін та оформлюйте правильно вашу бібліографію.
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.
Zúñiga, Javier. "Semistable Graph Homology." Pontificia Universidad Católica del Perú, 2016. http://repositorio.pucp.edu.pe/index/handle/123456789/96300.
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.
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.
Pavel, Mihai-Cosmin. "Moduli spaces of semistable sheaves." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0125.
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
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.
M.S.E.E.
Department of Electrical and Computer Engineering
Engineering and Computer Science
Electrical Engineering
Xia, Bingyu. "Moduli spaces of Bridgeland semistable complexes." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1491824968521162.
Abe, Takeshi. "BOUNDEDNESS OF SEMISTABLE SHEAVES OF RANK FOUR." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150404.
Coronica, Piero. "Semistable vector bundles on bubble tree surfaces." Thesis, Lille 1, 2015. http://www.theses.fr/2015LIL10064/document.
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
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.
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.
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.
He, Hongyu L. (Hongyu Livingstone) 1972. "Howe's rank and dual pair correspondence in semistable range." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47473.
Coiai, Fabrizio. "Boundedness problem for semistable G-bundles in positive characteristic." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4248.
Kawaguchi, Shu. "HEIGHT AND ARITHMETIC INTERSECTION FOR A FAMILY OF SEMISTABLE CURVES." 京都大学 (Kyoto University), 1999. http://hdl.handle.net/2433/181423.
Nironi, Fabio. "Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks." Doctoral thesis, SISSA, 2008. http://hdl.handle.net/20.500.11767/4165.
Dashtpeyma, Mohammad [Verfasser], and Uwe [Akademischer Betreuer] Jannsen. "Semistable extension of families of curves / Mohammad Dashtpeyma. Betreuer: Uwe Jannsen." Regensburg : Universitätsbibliothek Regensburg, 2014. http://d-nb.info/1058477412/34.
Wedrich, Lina [Verfasser], and Peter [Akademischer Betreuer] Kern. "Dimension results for operator semistable Lévy processes / Lina Wedrich. Betreuer: Peter Kern." Düsseldorf : Universitäts- und Landesbibliothek der Heinrich-Heine-Universität Düsseldorf, 2016. http://d-nb.info/1107540283/34.
Damjanovic, Nikola. "Arakelov inequalities and semistable families of curves uniformized by the unit ball." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0079/document.
The main object of study in this thesis is an Arakelov inequality which bounds the degree of an invertible subsheaf of the direct image of the pluricanonical relative sheaf of a semistable family of curves. A natural problem that arises is the characterization of those families for which the equality is satisfied in that Arakelov inequality, i.e. the case of Arakelov equality. Few examples of such families are known. In this thesis we provide some examples by proving that the direct image of the bicanonical relative sheaf of a semistable family of curves uniformized by the unit ball, all whose singular fibers are totally geodesic, contains an invertible subsheaf which satisfies Arakelov equality
Zhao, Yigeng [Verfasser], and Uwe [Akademischer Betreuer] Jannsen. "Étale duality of semistable schemes over local rings of positive characteristic / Yigeng Zhao. Betreuer: Uwe Jannsen." Regensburg : Universitätsbibliothek Regensburg, 2016. http://d-nb.info/1101939850/34.
Scarponi, Danny. "Formes effectives de la conjecture de Manin-Mumford et réalisations du polylogarithme abélien." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30100/document.
In this thesis we approach two independent problems in the field of arithmetic geometry, one regarding the torsion points of abelian varieties and the other the motivic polylogarithm on abelian schemes. The Manin-Mumford conjecture (proved by Raynaud in 1983) states that if A is an abelian variety and X is a subvariety of A not containing any translate of an abelian subvariety of A, then X can only have a finite number of points that are of finite order in A. In 1996, Buium presented an effective form of the conjecture in the case of curves. In this thesis, we show that Buium's argument can be made applicable in higher dimensions to prove a quantitative version of the conjecture for a class of subvarieties with ample cotangent studied by Debarre. Our proof also generalizes to any dimension a result on the sparsity of p-divisible unramified liftings obtained by Raynaud in the case of curves. In 2014, Kings and Roessler showed that the realisation in analytic Deligne cohomology of the degree zero part of the motivic polylogarithm on abelian schemes can be described in terms of the Bismut-Koehler higher analytic torsion form of the Poincaré bundle. In this thesis, using the arithmetic intersection theory in the sense of Burgos, we give a refinement of Kings and Roessler's result in the case in which the base of the abelian scheme is proper
Yamaki, Kazuhiko. "A direct proof of Moriwaki's inequality for semistably fibered surfaces and its generalization." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150405.
Kolb, Johannes [Verfasser], and Klaus [Akademischer Betreuer] Künnemann. "Lokale Schnitttheorie an nicht-archimedischen Stellen für Produkte semistabiler Kurven / Johannes Kolb. Betreuer: Klaus Künnemann." Regensburg : Universitätsbibliothek Regensburg, 2013. http://d-nb.info/1037021371/34.
Potashnik, Natasha. "Derived Categories of Moduli Spaces of Semistable Pairs over Curves." Thesis, 2016. https://doi.org/10.7916/D8H99542.
Chang, Chi-Kang, and 張繼剛. "Desingularized moduli spaces of torsion-free semistable sheaves on a K3 surface." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/fufjab.
國立臺灣大學
數學研究所
106
Abstract The aim of this article is to study Kieran G. O’Grady’s paper "Desingularized moduli spaces of sheaves on a K3" in 1998, where the author constructs the moduli space of rank two torsion-free semistable sheaves on a non-singular K3 surface with c1 = 0 and c2 = c a even number not less then 4. This moduli space is denoted by Mc, which is a G.I.T. quotient from the Quot-scheme and is singular. By using Kirwan’s method of successive blow ups of the strictly semistable loci with reductive stabilizer, one can obtain a desingularization Mcc of Mc. What’s surprising is that when c = 4, there is a Mori extremal divisorial contraction of Mc4 so that the outcome is a hyperk¨ahler manifold Mf4. Moreover, the natural map from Mf4 to M4 is a morphism and hence a simplectic desingularization of M4. The hyperk¨ahler manifold Mf4 is not birational/deformation equivalence to another two typical constructions of HK manifolds: the Hilbert schemes of points and Kummer varieties. Key words: moduli space of sheaves, semistable sheaves, geometric invariant theory, symplectic resolution, hyperk¨ahler variety.
Zowislok, Markus [Verfasser]. "On moduli spaces of semistable sheaves on K3 surfaces / vorgelegt von Markus Zowislok." 2010. http://d-nb.info/1003549594/34.
Herz, Gabriel [Verfasser]. "On representations attached to semistable vector bundles on Mumford curves / vorgelegt von Gabriel Herz." 2005. http://d-nb.info/975570765/34.
Brinkmann, Daniel. "Hilbert-Kunz functions of surface rings of type ADE." Doctoral thesis, 2013. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2013082711496.