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Abelian Varieties, Theta Functions and the Fourier Transform

$87.36
Author: Polishchuk, Alexander

Publisher: Cambridge University Press

Format: Adobe PDF

Content Language: English

ISBN: 9780511057588

Print ISBN: 9780521808040

Size: 1,943 KB

Pages: 308

Publication Date: 1999-06-18

Category:
Mathematics > Geometry > Algebraic

Software Required:
Adobe Digital EditionsAdobe Digital Editions

Territorial Restrictions:
Available Worldwide

Digital Rights:
Copy Count: 5
Copy Interval (Days): 30
Print Count: 20
Print Interval (Days): 30
Read Aloud: Enabled

Abelian Varieties, Theta Functions and the Fourier Transform
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DESCRIPTION
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. The author starts by discussing the classical theory of theta functions from the point of view of the representation theory of the Heisenberg group (in which the usual Fourier transform plays the prominent role). He then shows that in the algebraic approach to this theory, the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems. Graduate students and researchers with strong interest in algebraic geometry will find much of interest in this volume.


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