Moduli of Abelian Varieties: 1644 (Lecture Notes in Mathematics, 1644) - Softcover

Adler, Allan; Ramanan, Sundararaman

 
9783540620235: Moduli of Abelian Varieties: 1644 (Lecture Notes in Mathematics, 1644)

Synopsis

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.

"synopsis" may belong to another edition of this title.

Product Description

Aimed at researchers and advanced graduate students in algebraic geometry, this text begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It also introduces the reader to some aspects of the research into representation and invariant theories and their applications to these geometrical questions.

"About this title" may belong to another edition of this title.