Overview

This book is 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. Alexander Polishchuk starts by discussing the classical theory of theta functions from the viewpoint 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 (originally due to Mumford) the Fourier-Mukai transform can often be used to simplify the existing proofs or to provide completely new proofs of many important theorems. This incisive volume is for graduate students and researchers with strong interest in algebraic geometry.
ISBN-13

9780521808040

ISBN-10

0521808049

Weight

1.26 Pounds

Dimensions

6.00 x 0.81 x 9.00 In

List Price

$135.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

308 pages

Publisher

Cambridge University Press

Published On

2003-04-21


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