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Moduli of Abelian Varieties : Lecture Notes in Computer Science - Allan Adler

Moduli of Abelian Varieties

Lecture Notes in Computer Science

Paperback Published: 16th December 1996
ISBN: 9783540620235
Number Of Pages: 202

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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.

Introductionp. 1
Standard Heisenberg Groupsp. 8
Heisenberg groups of Line Bundles on Abelian Varietiesp. 18
Theta Structures and the Addition Formulap. 31
Geometry of the Fundamental Relationsp. 52
Invariant Theory, Arithmetic and Vector Bundlesp. 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
Referencesp. 186
Index of Notationp. 192
Subject Indexp. 194
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540620235
ISBN-10: 3540620230
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 202
Published: 16th December 1996
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.14
Weight (kg): 0.3