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Abelian varieties, theta functions, and the Fourier transform /
The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2003.
|
| Colección: | Cambridge tracts in mathematics ;
153. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Polishchuk, Alexander, |d 1971- | |
| 245 | 1 | 0 | |a Abelian varieties, theta functions, and the Fourier transform / |c Alexander Polishchuk. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2003. | ||
| 300 | |a 1 online resource (xvi, 292 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Cambridge tracts in mathematics ; |v 153 | |
| 504 | |a Includes bibliographical references (pages 283-289) and index. | ||
| 520 | |a The aim of this book is to present a modern treatment of the theory of theta functions in the context of algebraic geometry. The novelty of its approach lies in the systematic use of the Fourier-Mukai transform. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Abelian varieties. | |
| 650 | 0 | |a Fourier transformations. | |
| 650 | 6 | |a Variétés abéliennes. | |
| 650 | 6 | |a Transformations de Fourier. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Abelian varieties |2 fast | |
| 650 | 7 | |a Fourier transformations |2 fast | |
| 650 | 7 | |a Abelsche Mannigfaltigkeit |2 gnd | |
| 650 | 7 | |a Thetafunktion |2 gnd | |
| 650 | 7 | |a Fourier-Transformation |2 gnd | |
| 773 | 0 | |t Cambridge tracts in mathematics |g no:153 |x 0950-6284 | |
| 776 | 0 | 8 | |i Print version: |a Polishchuk, Alexander, 1971- |t Abelian varieties, theta functions, and the Fourier transform. |d Cambridge, UK ; New York : Cambridge University Press, 2003 |z 0521808049 |w (DLC) 2002024457 |w (OCoLC)49320527 |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 153. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120692 |z Texto completo |
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