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Abelian Varieties Theta Functions And The Fourier Transform 1st Alexander Polishchuk

Name: Abelian Varieties Theta Functions And The Fourier Transform 1st Alexander Polishchuk
SKU: BELL-1438308
Price: 31.00 USD
Availability: InStock
Rating: 4.1 (60 reviews)

SKU: BELL-1438308

$ 31.00 ~~$ 45.00~~ (-31%)

4.1

60 reviews

Abelian Varieties Theta Functions And The Fourier Transform 1st Alexander Polishchuk instant download after payment.

Publisher: Cambridge University Press

File Extension: PDF

File size: 1.26 MB

Pages: 307

Author: Alexander Polishchuk

ISBN: 9780511063916, 9780511546532, 9780521808040, 0521808049, 0511063911, 051154653X

Language: English

Year: 2003

Edition: 1st

Product desciption

Abelian Varieties Theta Functions And The Fourier Transform 1st Alexander Polishchuk by Alexander Polishchuk 9780511063916, 9780511546532, 9780521808040, 0521808049, 0511063911, 051154653X instant download after payment.

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.