Moduli of Abelian Varieties / Edition 1

by Allan Adler, Sundararaman Ramanan

Overview

This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.

Product Details

ISBN-13:	9783540620235
Publisher:	Springer Berlin Heidelberg
Publication date:	12/23/1996
Series:	Lecture Notes in Mathematics , #1644
Edition description:	1996
Pages:	202
Product dimensions:	8.50(w) x 10.98(h) x 0.02(d)

Table of Contents

Standard Heisenberg Groups.- Heisenberg groups of line bundles on abelian varieties.- Theta structures and the addition formula.- Geometry and arithmetic of the fundamental relations.- Invariant theory, arithmetic and vector bundles.