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Bestseller
BestsellerE-book
Author Polishchuk, Alexander, 1971-

Title Abelian varieties, theta functions, and the Fourier transform / Alexander Polishchuk.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2003.
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Online eBook. Access restricted to current Rider University students, faculty, and staff.
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Description 1 online resource (xvi, 292 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Cambridge tracts in mathematics ; 153
Cambridge tracts in mathematics ; 153.
Bibliography Includes bibliographical references (pages 283-289) and index.
Summary 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.
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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Abelian varieties.
Abelian varieties.
Fourier transformations.
Fourier transformations.
Genre/Form Electronic books.
Electronic books.
Other Form: 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
ISBN 0511063911 (electronic book)
9780511063916 (electronic book)
0511072376
9780511072376
9780511546532 (ebook)
051154653X (ebook)
9780521808040 (hardback)
0521808049 (hardback)
0521808049 (Cloth)

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