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 FourierMukai 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 FourierMukai 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.
About Alexander Polishchuk
fm.author_biographical_note1Details Book
Author  :  Alexander Polishchuk 
Publisher  :  Cambridge University Press 
Data Published  :  21 April 2003 
ISBN  :  0521808049 
EAN  :  9780521808040 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  308 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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