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Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics)By Alexander Polishchuk
Download Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics)By Alexander Polishchuk
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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.
- Sales Rank: #3237720 in eBooks
- Published on: 2003-04-21
- Released on: 2003-04-21
- Format: Kindle eBook
Review
"I would definitely recommend this book to a reader already acquainted with abelian varieties wishing to go beyond the basics of the subject. It is stimulatig and provocative and at the same time well-organized. Even the expert will learn a lot from reading it." Bulletin of the AMS
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