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

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Alexander Polishchuk

Cambridge University Press

2003-4-21

308

USD 118.00

Hardcover

9780521808040

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发表于2024-11-25

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

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

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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.

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