Abelian Varieties Theta Functions And The Fourier Transform
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Abelian Varieties, Theta Functions and the Fourier Transform
Author: Alexander Polishchuk
language: en
Publisher: Cambridge University Press
Release Date: 2003-04-21
Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Fourier-Mukai Transforms in Algebraic Geometry
This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. Including notions from other areas, e.g. singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs are given and exercises aid the reader throughout.
Lecture Notes on Nil-Theta Functions
Author: Louis Auslander
language: en
Publisher: American Mathematical Soc.
Release Date: 1977
Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.