Abelian Varieties, Theta Functions and the Fourier Transform ebook Polishchuk, Alexander Diesel eBooks

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Home > Education > Mathematics > Abelian Varieties, Theta Functions and the Fourier Transform-eBook

Abelian Varieties, Theta Functions and the Fourier Transform

Polishchuk, Alexander

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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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Title of ebook: Abelian Varieties, Theta Functions and the Fourier Transform
ISBN: 9780511057588
Publisher: Cambridge University Press
Internet download file size: 1943 kb
Pages: 308
Released online for download: 06-18-1999
Author of eBook: Polishchuk, Alexander