Moduli of Abelian Varieties

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 spa...

Full description

Bibliographic Details
Main Authors: Adler, Allan, Ramanan, Sundararaman (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1996, 1996
Edition:1st ed. 1996
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 01896nmm a2200313 u 4500
001 EB000659131
003 EBX01000000000000000512213
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783540496090 
100 1 |a Adler, Allan 
245 0 0 |a Moduli of Abelian Varieties  |h Elektronische Ressource  |c by Allan Adler, Sundararaman Ramanan 
250 |a 1st ed. 1996 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1996, 1996 
300 |a VI, 202 p  |b online resource 
505 0 |a 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 
653 |a Number theory 
653 |a Algebraic Geometry 
653 |a Number Theory 
653 |a Algebraic geometry 
700 1 |a Ramanan, Sundararaman  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Mathematics 
028 5 0 |a 10.1007/BFb0093659 
856 4 0 |u https://doi.org/10.1007/BFb0093659?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 516.35 
520 |a 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