Literatura académica sobre el tema "Moduli space of vector bundles"
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Artículos de revistas sobre el tema "Moduli space of vector bundles"
Aprodu, Marian y Vasile Brînzănescu. "Moduli spaces of vector bundles over ruled surfaces". Nagoya Mathematical Journal 154 (1999): 111–22. http://dx.doi.org/10.1017/s0027763000025332.
Texto completoBeck, N. "Moduli of decorated swamps on a smooth projective curve". International Journal of Mathematics 26, n.º 10 (septiembre de 2015): 1550086. http://dx.doi.org/10.1142/s0129167x1550086x.
Texto completoBasu, Suratno y Sourav Das. "A Torelli type theorem for nodal curves". International Journal of Mathematics 32, n.º 07 (23 de abril de 2021): 2150041. http://dx.doi.org/10.1142/s0129167x21500415.
Texto completoAlmeida, C., M. Jardim, A. S. Tikhomirov y S. A. Tikhomirov. "New moduli components of rank 2 bundles on projective space". Sbornik: Mathematics 212, n.º 11 (1 de noviembre de 2021): 1503–52. http://dx.doi.org/10.1070/sm9490.
Texto completoPORITZ, JONATHAN A. "PARABOLIC VECTOR BUNDLES AND HERMITIAN-YANG-MILLS CONNECTIONS OVER A RIEMANN SURFACE". International Journal of Mathematics 04, n.º 03 (junio de 1993): 467–501. http://dx.doi.org/10.1142/s0129167x9300025x.
Texto completoCASTRAVET, ANA-MARIA. "RATIONAL FAMILIES OF VECTOR BUNDLES ON CURVES". International Journal of Mathematics 15, n.º 01 (febrero de 2004): 13–45. http://dx.doi.org/10.1142/s0129167x0400220x.
Texto completoGAVIOLI, FRANCESCA. "THETA FUNCTIONS ON THE MODULI SPACE OF PARABOLIC BUNDLES". International Journal of Mathematics 15, n.º 03 (mayo de 2004): 259–87. http://dx.doi.org/10.1142/s0129167x04002272.
Texto completoBhosle, Usha N. y Sanjay Kumar Singh. "Fourier–Mukai Transform on a Compactified Jacobian". International Mathematics Research Notices 2020, n.º 13 (19 de junio de 2018): 3991–4015. http://dx.doi.org/10.1093/imrn/rny136.
Texto completoDey, Arijit, Sampa Dey y Anirban Mukhopadhyay. "Statistics of moduli space of vector bundles". Bulletin des Sciences Mathématiques 151 (marzo de 2019): 13–33. http://dx.doi.org/10.1016/j.bulsci.2018.12.003.
Texto completoBISWAS, INDRANIL y TOMÁS L. GÓMEZ. "HECKE CORRESPONDENCE FOR SYMPLECTIC BUNDLES WITH APPLICATION TO THE PICARD BUNDLES". International Journal of Mathematics 17, n.º 01 (enero de 2006): 45–63. http://dx.doi.org/10.1142/s0129167x06003357.
Texto completoTesis sobre el tema "Moduli space of vector bundles"
Costa, Farràs Laura. "Moduli spaces of vector bundles on algebraic varieties". Doctoral thesis, Universitat de Barcelona, 1998. http://hdl.handle.net/10803/659.
Texto completoMore precisely, we consider a smooth, irreducible, n-dimensional, projective variety X defined over an algebraically closed field k of characteristic zero, H an ample divisor on X, r >/2 an integer and c-subi H-super2i(X,Z) for i = 1, .,min{r,n}. We denote by M-sub X, H (r; c1,., Cmin{r;n}) the moduli space of rank r, vector bundles E on X, H-stable, in the sense of Mumford-Takemoto, with fixed Chern classes c-subi(E) = c-subi for i = 1, . , min{r, n}.
The contents of this Thesis is the following: Chapter 1 is devoted to provide the reader with the general background that we will need in the sequel. In the first two sections, we have collected the main definitions and results concerning coherent sheaves and moduli spaces, at least, those we will need through this work.
The aim of Chapter 2 is to establish the enterions of rationality for moduli spaces of rank two, it-stable vector bundles on a smooth, irreducible, rational surface X that will be used as one of our tools for answering Question (1), who is that follows: "Let X be a smooth, irreducible, rational surface. Fix C-sub1 Pic(X) and 0 « c2 Z. Is there an ample divisor H on X such that M-sub X,H(2; Ci, c2) is rational?"
In Chapter 3 we prove that the moduli space M-sub X,H(2; Ci, c2) of rank two, H-stable, vector bundles E on a smooth, irreducible, rational surface X, with fixed Chern classes C-sub1(E) = C-sub1 Pic(X) and 0 « C-sub2«(E) Z is a smooth, irreducible, rational, quasi-projective variety (Theorem 3.3.7) which solves Question (1).
In Chapter 4 we study moduli spaces (M-sub X,H(2; Ci, c2)) of rank r, H-stable vector bundles on either minimal rational surfaces or on algebraic K3 surfaces.
In Chapter 5 we deal with moduli spaces M-sub x,l (2;Ci,C2) of rank two, L-stable vector bundles E, on P-bundles of arbitrary dimension, with fixed Chern classes.
Moraru, Ruxandra. "Moduli spaces of vector bundles on a Hopf surface, and their stability properties". Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=37786.
Texto completoLo, Giudice Alessio. "Some topics on Higgs bundles over projective varieties and their moduli spaces". Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4100.
Texto completoGronow, Michael Justin. "Extension maps and the moduli spaces of rank 2 vector bundles over an algebraic curve". Thesis, Durham University, 1997. http://etheses.dur.ac.uk/5081/.
Texto completoDyer, Ben. "NC-algebroid thickenings of moduli spaces and bimodule extensions of vector bundles over NC-smooth schemes". Thesis, University of Oregon, 2018. http://hdl.handle.net/1794/23168.
Texto completoKaur, Inder [Verfasser]. "The C₁ conjecture for the moduli space of stable vector bundles with fixed determinant on a smooth projective curve / Inder Kaur". Berlin : Freie Universität Berlin, 2017. http://d-nb.info/1131629337/34.
Texto completoSanna, Giangiacomo. "Rational curves and instantons on the Fano threefold Y_5". Doctoral thesis, SISSA, 2014. http://hdl.handle.net/20.500.11767/3867.
Texto completoFernández, Vargas Néstor. "Fibres vectoriels sur des courbes hyperelliptiques". Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S051/document.
Texto completoThis thesis is devoted to the study of moduli spaces of vector bundles over a smooth algebraic curve over field of complex numbers. The text consist of two main parts : In the first part, I investigate the geometry related to the classifications of rank 2 quasi-parabolic vector bundles over a 2-pointed elliptic curves, modulo isomorphism. The notions of indecomposability, simplicity and stability give rise to the corresponding moduli spaces classifying these objects. The projective structure of these spaces is explicitely described, and we prove a Torelli theorem that allow us to recover the 2-pointed elliptic curve. I also explore the relation with the moduli space of quasi-parabolic vector bundles over a 5-pointed rational curve, appearing naturally as a double cover of the moduli space of quasi-parabolic vector bundles over the 2-pointed elliptic curve. Finally, we show explicitely the modularity of the automorphisms of this moduli space. In the second part, I study the moduli space of semistable rank 2 vector bundles with trivial determinant over a hyperelliptic curve C. More precisely, I am interested in the natural map induced by the determinant line bundle, generator of the Picard group of this moduli space. This map is identified with the theta map, which is of degree 2 in our case. We define a fibration from this moduli space to a projective space whose generic fiber is birational to the moduli space of 2g-pointed rational curves, and we describe the restriction of the map theta to the fibers of this fibration. We show that this restriction is, up to a birational map, an osculating projection centered on a point. By using a description due to Kumar, we show that the restriction of the map theta to this fibration ramifies over the Kummer variety of a certain hyperelliptic curve of genus g - 1
Zelaci, Hacen. "Espaces de modules de fibrés vectoriels anti-invariants sur les courbes et blocs conformes". Thesis, Université Côte d'Azur (ComUE), 2017. http://www.theses.fr/2017AZUR4063/document.
Texto completoLet X be a smooth irreducible projective curve with an involution σ. In this dissertation, we studythe moduli spaces of invariant and anti-invariant vector bundles over X under the induced action of σ. We introduce the notion of σ-quadratic modules and use it, with GIT, to construct these moduli spaces, and than we study some of their main properties. It turn out that these moduli spaces correspond to moduli spaces of parahoric G-torsors on the quotient curve X/σ, for some parahoric Bruhat-Tits group schemes G, which are twisted in the anti-invariant case.We study the Hitchin system over these moduli spaces and use it to derive a classification of theirconnected components using dominant maps from Prym varieties. We also study the determinant of cohomology line bundle on the moduli spaces of anti-invariant vector bundles. In some cases this line bundle admits some square roots called Pfaffian of cohomology line bundles. We prove that the spaces of global sections of the powers of these line bundles (spaces of generalized theta functions) can be canonically identified with the conformal blocks for some twisted affine Kac-Moody Lie algebras of type A(2)
Koeppe, Thomas. "Moduli of bundles on local surfaces and threefolds". Thesis, University of Edinburgh, 2010. http://hdl.handle.net/1842/33315.
Texto completoLibros sobre el tema "Moduli space of vector bundles"
Brambila-Paz, Leticia, Steven B. Bradlow, Oscar Garcia-Prada y S. Ramanan, eds. Moduli Spaces and Vector Bundles. Cambridge: Cambridge University Press, 2009. http://dx.doi.org/10.1017/cbo9781139107037.
Texto completo1957-, Bradlow Steve, ed. Moduli spaces and vector bundles. Cambridge: Cambridge University Press, 2009.
Buscar texto completoAlexeev, Valery, Angela Gibney, Elham Izadi, János Kollár, Eduard Looijenga, Valery Alexeev, Angela Gibney, Elham Izadi, János Kollár y Eduard Looijenga, eds. Compact Moduli Spaces and Vector Bundles. Providence, Rhode Island: American Mathematical Society, 2012. http://dx.doi.org/10.1090/conm/564.
Texto completoCompact moduli spaces and vector bundles: Conference on compact moduli and vector bundles, October 21-24, 2010, University of Georgia, Athens, Georgia. Providence, R.I: American Mathematical Society, 2012.
Buscar texto completoClay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Editado por Ellwood D. (David) 1966- y Previato Emma. Providence, RI: American Mathematical Society, 2011.
Buscar texto completo1776-1853, Hoene-Wroński Józef Maria y Pragacz Piotr, eds. Algebraic cycles, sheaves, shtukas, and moduli. Basel: Birkhäuser, 2008.
Buscar texto completo1944-, Maruyama Masaki y International Taniguchi Symposium (35th : 1994 : Sanda-shi, Japan), eds. Moduli of vector bundles. New York: M. Dekker, 1996.
Buscar texto completoModuli spaces and arithmetic dynamics. Providence, R.I: American Mathematical Society, 2012.
Buscar texto completoSchool and Workshop on Vector Bundles and Low Codimensional Varieties (2006 Trento, Italy). Vector bundles and low codimensional subvarieties: State of the art and recent developments. [Roma]: Aracne, 2007.
Buscar texto completoPotier, Joseph Le. Systèmes cohérents et structures de niveau. Paris: Société Mathématique de France, 1993.
Buscar texto completoCapítulos de libros sobre el tema "Moduli space of vector bundles"
Zamora Saiz, Alfonso y Ronald A. Zúñiga-Rojas. "Moduli Space of Vector Bundles". En SpringerBriefs in Mathematics, 59–80. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67829-6_4.
Texto completoBalaji, V. y C. S. Seshadri. "Cohomology of a Moduli Space of Vector Bundles". En The Grothendieck Festschrift, 87–120. Boston, MA: Birkhäuser Boston, 2007. http://dx.doi.org/10.1007/978-0-8176-4574-8_4.
Texto completoZagier, Don. "On the Cohomology of Moduli Spaces of Rank Two Vector Bundles Over Curves". En The Moduli Space of Curves, 533–63. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4264-2_20.
Texto completoKumar, Shrawan. "Infinite grassmannians and moduli spaces of G-bundles". En Vector Bundles on Curves — New Directions, 1–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0094424.
Texto completoHein, Georg. "Faltings’ Construction of the Moduli Space of Vector Bundles on a Smooth Projective Curve". En Affine Flag Manifolds and Principal Bundles, 91–122. Basel: Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0288-4_3.
Texto completoHacking, Paul. "Compact Moduli Spaces of Surfaces and Exceptional Vector Bundles". En Advanced Courses in Mathematics - CRM Barcelona, 41–67. Basel: Springer Basel, 2016. http://dx.doi.org/10.1007/978-3-0348-0921-4_2.
Texto completoNarasimhan, M. S. "Derived Categories of Moduli Spaces of Vector Bundles on Curves II". En Springer Proceedings in Mathematics & Statistics, 375–82. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97379-1_16.
Texto completoMaruyama, Masaki. "Stable rationality of some moduli spaces of vector bundles on P2". En Complex Analysis and Algebraic Geometry, 80–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076996.
Texto completoLi, Jun. "The Geometry of Moduli Spaces of Vector Bundles over Algebraic Surfaces". En Proceedings of the International Congress of Mathematicians, 508–16. Basel: Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9078-6_44.
Texto completoJost, Jürgen y Xiao-Wei Peng. "The geometry of moduli spaces of stable vector bundles over riemann surfaces". En Global Differential Geometry and Global Analysis, 79–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0083631.
Texto completoActas de conferencias sobre el tema "Moduli space of vector bundles"
Hwang, Jun-Muk. "Hecke curves on the moduli space of vector bundles over an algebraic curve". En Proceedings of the Symposium. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705105_0005.
Texto completoDominguez-Ontiveros, Elvis, Carlos Estrada-Perez y Yassin Hassan. "Non-Intrusive Experimental Investigation of Flow Behavior Inside a 5X5 Rod Bundle With Spacer Grids Using PIV and MIR". En 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75214.
Texto completoTANIGUCHI, TADASHI. "CURVATURE OF THE DETERMINANT LINE BUNDLE ON THE MODULI SPACE OF NULL-CORRELATION BUNDLES". En Proceedings in Honor of Professor K Sekigawa's 60th Birthday. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701701_0019.
Texto completoADACHI, T. "MODULI SPACE OF KILLING HELICES OF LOW ORDERS ON A COMPLEX SPACE FORM". En Proceedings of the 8th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812709806_0001.
Texto completoHASHIMOTO, YOSHITAKE y KIYOSHI OHBA. "EMBEDDING OF THE MODULI SPACE OF RIEMANN SURFACES WITH IGETA STRUCTURES INTO THE SATO GRASSMANN MANIFOLD". En Proceedings of the 5th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810144_0006.
Texto completoKucherov, N., V. Kuchukov, E. Golimblevskaia, N. Kuchukova, I. Vashchenko y E. Kuchukova. "Efficient implementation of error correction codes in modular code". En 3rd International Workshop on Information, Computation, and Control Systems for Distributed Environments 2021. Crossref, 2021. http://dx.doi.org/10.47350/iccs-de.2021.09.
Texto completoBenito, Ines y Njuki W. Mureithi. "Identification of Two-Phase Flow Patterns Using Support Vector Classification". En ASME 2017 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/pvp2017-65179.
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