Verfügbarkeit: Abelian varieties, theta functions, and the Fourier transform /

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.

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Polishchuk, Alexander, 1971-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge, UK ; New York : Cambridge University Press, 2003.
Schriftenreihe:	Cambridge tracts in mathematics ; 153.
Schlagworte:	Abelian varieties. Fourier transformations. Variétés abéliennes. Transformations de Fourier. MATHEMATICS > Geometry > Algebraic. Abelian varieties Fourier transformations Abelsche Mannigfaltigkeit Thetafunktion Fourier-Transformation Electronic books.
Online-Zugang:	Volltext
Zusammenfassung:	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.
Beschreibung:	1 online resource (xvi, 292 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 283-289) and index.
ISBN:	0511063911 9780511063916 0511072376 9780511072376 9780511546532 051154653X 9780521808040 0521808049
ISSN:	0950-6284

Internformat

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series	Cambridge tracts in mathematics ;
series2	Cambridge tracts in mathematics ;
spelling	Polishchuk, Alexander, 1971- https://id.oclc.org/worldcat/entity/E39PCjHmjyRbpXbYjRWbWGj7VC http://id.loc.gov/authorities/names/n2002019503 Abelian varieties, theta functions, and the Fourier transform / Alexander Polishchuk. Cambridge, UK ; New York : Cambridge University Press, 2003. 1 online resource (xvi, 292 pages) : illustrations text txt rdacontent computer c rdamedia online resource 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. Print version record. Abelian varieties. http://id.loc.gov/authorities/subjects/sh85000130 Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Variétés abéliennes. Transformations de Fourier. MATHEMATICS Geometry Algebraic. bisacsh Abelian varieties fast Fourier transformations fast Abelsche Mannigfaltigkeit gnd http://d-nb.info/gnd/4140992-9 Thetafunktion gnd http://d-nb.info/gnd/4185175-4 Fourier-Transformation gnd http://d-nb.info/gnd/4018014-1 Electronic books. Cambridge tracts in mathematics no:153 0950-6284 Print version: Polishchuk, Alexander, 1971- Abelian varieties, theta functions, and the Fourier transform. Cambridge, UK ; New York : Cambridge University Press, 2003 0521808049 (DLC) 2002024457 (OCoLC)49320527 Cambridge tracts in mathematics ; 153. http://id.loc.gov/authorities/names/n42005726 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120692 Volltext
spellingShingle	Polishchuk, Alexander, 1971- Abelian varieties, theta functions, and the Fourier transform / Cambridge tracts in mathematics ; 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. Abelian varieties. http://id.loc.gov/authorities/subjects/sh85000130 Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Variétés abéliennes. Transformations de Fourier. MATHEMATICS Geometry Algebraic. bisacsh Abelian varieties fast Fourier transformations fast Abelsche Mannigfaltigkeit gnd http://d-nb.info/gnd/4140992-9 Thetafunktion gnd http://d-nb.info/gnd/4185175-4 Fourier-Transformation gnd http://d-nb.info/gnd/4018014-1
subject_GND	http://id.loc.gov/authorities/subjects/sh85000130 http://id.loc.gov/authorities/subjects/sh85051094 http://d-nb.info/gnd/4140992-9 http://d-nb.info/gnd/4185175-4 http://d-nb.info/gnd/4018014-1
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	Abelian varieties. http://id.loc.gov/authorities/subjects/sh85000130 Fourier transformations. http://id.loc.gov/authorities/subjects/sh85051094 Variétés abéliennes. Transformations de Fourier. MATHEMATICS Geometry Algebraic. bisacsh Abelian varieties fast Fourier transformations fast Abelsche Mannigfaltigkeit gnd http://d-nb.info/gnd/4140992-9 Thetafunktion gnd http://d-nb.info/gnd/4185175-4 Fourier-Transformation gnd http://d-nb.info/gnd/4018014-1
topic_facet	Abelian varieties. Fourier transformations. Variétés abéliennes. Transformations de Fourier. MATHEMATICS Geometry Algebraic. Abelian varieties Fourier transformations Abelsche Mannigfaltigkeit Thetafunktion Fourier-Transformation Electronic books.
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120692
work_keys_str_mv	AT polishchukalexander abelianvarietiesthetafunctionsandthefouriertransform

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