Abelian varieties, theta functions, and the Fourier transform /
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2003.
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| Series: | Cambridge tracts in mathematics ;
153 |
| Subjects: | |
| Online Access: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120692 |
Table of Contents:
- Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgments; References; 1 Line Bundles on Complex Tori; 2 Representations of Heisenberg Groups I; 3 Theta Functions I; 4 Representations of Heisenberg Groups II: Intertwining Operators; 5 Theta Functions II: Functional Equation; 6 Mirror Symmetry for Tori; 7 Cohomology of a Line Bundle on a Complex Torus: Mirror Symmetry Approach; 8 Abelian Varieties and Theorem of the Cube; 9 Dual Abelian Variety; 10 Extensions, Biextensions, and Duality; 11 Fourier-Mukai Transform; 12 Mumford Group and Riemann's Quartic Theta Relation.