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(Ebook) Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk ISBN 9780511063916, 9780511546532, 9780521808040, 0521808049, 0511063911, 051154653X

  • SKU: EBN-1438308
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Instant download (eBook) Abelian Varieties, Theta Functions and the Fourier Transform after payment.
Authors:Alexander Polishchuk
Pages:307 pages.
Year:2003
Editon:1st
Publisher:Cambridge University Press
Language:english
File Size:1.26 MB
Format:pdf
ISBNS:9780511063916, 9780511546532, 9780521808040, 0521808049, 0511063911, 051154653X
Categories: Ebooks

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(Ebook) Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk ISBN 9780511063916, 9780511546532, 9780521808040, 0521808049, 0511063911, 051154653X

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.
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