Abelian Varieties, Theta Functions and the Fourier Transform 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Alexander Polishchuk 作者

Cambridge University Press

译者

2003-4-21 出版日期

308 页数

USD 118.00 价格

Hardcover

丛书系列

9780521808040 图书编码

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Abelian Varieties, Theta Functions and the Fourier Transform 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Abelian Varieties, Theta Functions and the Fourier Transform 在线电子书图书描述

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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