Vector bundles on elliptic curves and factors of automorphy

  • The Atiyah’s results on classification of vector bundles on elliptic curves are translated to the language of factors of automorphy.

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Author:Oleksandr Iena
Advisor:Günther Trautmann
Document Type:Diploma Thesis
Language of publication:English
Publication Date:2013/01/16
Year of Publication:2005
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2013/01/16
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):14-XX ALGEBRAIC GEOMETRY / 14Dxx Families, fibrations / 14D20 Algebraic moduli problems, moduli of vector bundles (For analytic moduli problems, see 32G13)
14-XX ALGEBRAIC GEOMETRY / 14Hxx Curves / 14H52 Elliptic curves [See also 11G05, 11G07, 14Kxx]
14-XX ALGEBRAIC GEOMETRY / 14Hxx Curves / 14H60 Vector bundles on curves and their moduli [See also 14D20, 14F05]
14-XX ALGEBRAIC GEOMETRY / 14Kxx Abelian varieties and schemes / 14K25 Theta functions [See also 14H42]
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 10.09.2012