Lecture Notes in Mathematics

By: Allan Adler, Sundararaman Ramanan

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Paperback | 16 December 1996

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212 Pages

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24.13 x 15.88 x 1.27

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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.

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Introduction	p. 1
Standard Heisenberg Groups	p. 8
Heisenberg groups of Line Bundles on Abelian Varieties	p. 18
Theta Structures and the Addition Formula	p. 31
Geometry of the Fundamental Relations	p. 52
Invariant Theory, Arithmetic and Vector Bundles	p. 77
"On the Weil Representation"	p. 107
"Modular Forms of Weight 4/5 for [Gamma](11)"	p. 113
"Invariants and X(11)"	p. 122
"On the Hessian of a cubic threefold"	p. 125
"New abelian varieties associated to cubic threefolds"	p. 145
References	p. 186
Index of Notation	p. 192
Subject Index	p. 194
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

At a Glance

Paperback

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How to return your order

Defective items

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