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Abelian Varieties, Theta Functions and the Fourier Transform (2003)
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Abelian varieties, theta functions and the Fourier transform
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- Abelian Varieties Theta Functions and The Fourier Transform by Polishchuk, Alexander.
- Abelian Varieties, Theta Functions and the Fourier Transform (E-Book, PDF).
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It may has up to gifts before you was it. The referral will be interleaved to your Kindle catalog. 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. Other books in this series.
Add to basket. Solitons T. Synthetic Geometry of Manifolds Anders Kock. Algebraic Theories Jiri Adamek. Dynamics of Linear Operators Frederic Bayart. The Large Sieve and its Applications E. Combinatorics of Minuscule Representations R. Orbifolds and Stringy Topology Alejandro Adem.
Working seminar on Fourier-Mukai transforms
Approximation by Algebraic Numbers Yann Bugeaud. Finite Packing and Covering Karoly Boroczky. Table of contents Part I. Analytic Theory: 1. Line bundles on complex tori; 2. Representations of Heisenberg groups I ; 3. Theta functions; 4. Representations of Heisenberg groups II: intertwining operators; 5.
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Theta functions II: functional equation; 6. Mirror symmetry for tori; 7.