Adler / Ramanan Moduli of Abelian Varieties

Erscheinungsjahr 2006
ISBN: 978-3-540-49609-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1644, 202 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Adler, Allan

Ramanan, Sundararaman

Inhaltsverzeichnis

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.