Abelian varieties, theta functions, and the Fourier transform:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, UK
Cambridge University Press
2003
|
| Series: | Cambridge tracts in mathematics
153 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (pages 283-289) and index 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 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 |
| Physical Description: | 1 Online-Ressource (xvi, 292 pages) |
| ISBN: | 0511063911 0511072376 9780511063916 9780511072376 |
Staff View
MARC
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| 100 | 1 | |a Polishchuk, Alexander |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Abelian varieties, theta functions, and the Fourier transform |c Alexander Polishchuk |
| 264 | 1 | |a Cambridge, UK |b Cambridge University Press |c 2003 | |
| 300 | |a 1 Online-Ressource (xvi, 292 pages) | ||
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| 490 | 0 | |a Cambridge tracts in mathematics |v 153 | |
| 500 | |a Includes bibliographical references (pages 283-289) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
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Record in the Search Index
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| any_adam_object | |
| author | Polishchuk, Alexander |
| author_facet | Polishchuk, Alexander |
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| author_sort | Polishchuk, Alexander |
| author_variant | a p ap |
| building | Verbundindex |
| bvnumber | BV043131895 |
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| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)57218456 (DE-599)BVBBV043131895 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043131895 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:25Z |
| institution | BVB |
| isbn | 0511063911 0511072376 9780511063916 9780511072376 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028556085 |
| oclc_num | 57218456 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xvi, 292 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2003 |
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| publishDateSort | 2003 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Polishchuk, Alexander Verfasser aut Abelian varieties, theta functions, and the Fourier transform Alexander Polishchuk Cambridge, UK Cambridge University Press 2003 1 Online-Ressource (xvi, 292 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 153 Includes bibliographical references (pages 283-289) and index 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 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 MATHEMATICS / Geometry / Algebraic bisacsh Abelian varieties fast Fourier transformations fast Abelian varieties Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Thetafunktion (DE-588)4185175-4 gnd rswk-swf Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd rswk-swf Abelsche Mannigfaltigkeit (DE-588)4140992-9 s Thetafunktion (DE-588)4185175-4 s Fourier-Transformation (DE-588)4018014-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 0-521-80804-9 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120692 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Polishchuk, Alexander Abelian varieties, theta functions, and the Fourier transform MATHEMATICS / Geometry / Algebraic bisacsh Abelian varieties fast Fourier transformations fast Abelian varieties Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd Thetafunktion (DE-588)4185175-4 gnd Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd |
| subject_GND | (DE-588)4018014-1 (DE-588)4185175-4 (DE-588)4140992-9 |
| title | Abelian varieties, theta functions, and the Fourier transform |
| title_auth | Abelian varieties, theta functions, and the Fourier transform |
| title_exact_search | Abelian varieties, theta functions, and the Fourier transform |
| title_full | Abelian varieties, theta functions, and the Fourier transform Alexander Polishchuk |
| title_fullStr | Abelian varieties, theta functions, and the Fourier transform Alexander Polishchuk |
| title_full_unstemmed | Abelian varieties, theta functions, and the Fourier transform Alexander Polishchuk |
| title_short | Abelian varieties, theta functions, and the Fourier transform |
| title_sort | abelian varieties theta functions and the fourier transform |
| topic | MATHEMATICS / Geometry / Algebraic bisacsh Abelian varieties fast Fourier transformations fast Abelian varieties Fourier transformations Fourier-Transformation (DE-588)4018014-1 gnd Thetafunktion (DE-588)4185175-4 gnd Abelsche Mannigfaltigkeit (DE-588)4140992-9 gnd |
| topic_facet | MATHEMATICS / Geometry / Algebraic Abelian varieties Fourier transformations Fourier-Transformation Thetafunktion Abelsche Mannigfaltigkeit |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120692 |
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