UID:
edoccha_9959186180302883
Format:
1 online resource (VI, 202 p.)
Edition:
1st ed. 1996.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-49609-2
Series Statement:
Lecture Notes in Mathematics, 1644
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-62023-0
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0093659
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