Moduli of Abelian Varieties

1996
ISBN: 978-3-540-62023-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1644, 202 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 324 g

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.

Ramanan, Sundararaman

Adler, Allan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

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.