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[azw3] Abelian Varieties, Theta Functions and the Fourier Transform

Abelian Varieties, Theta Functions and the Fourier Transform书籍详细信息

ISBN：9780521808040
作者：Alexander Polishchuk
出版社：Cambridge University Press
出版时间：2003-4-21
页数：308
价格：USD 118.00
纸张：暂无纸张
装帧：Hardcover
开本：暂无开本
语言：暂无语言
适合人群：Academic researchers, graduate students, and advanced undergraduate students in mathematics, particularly those interested in algebraic geometry, complex analysis, and number theory.
TAG：Algebraic Geometry / Complex Analysis / Arithmetic Geometry / Number Theory / Fourier Transform / Theta Functions
豆瓣评分：暂无豆瓣评分
更新时间：2025-05-20 21:24:38

内容简介：

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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