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.

Keywords

Bibliographic Information

Book Title: Moduli of Abelian Varieties
Authors: Allan Adler, Sundararaman Ramanan
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0093659
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1996
Softcover ISBN: 978-3-540-62023-5Published: 16 December 1996
eBook ISBN: 978-3-540-49609-0Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VI, 202
Topics: Algebraic Geometry, Number Theory

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (6 chapters)

Front Matter

Introduction

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

Back Matter

About this book