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Moduli of Abelian Varieties

Allan AdlerS. Ramanan

出版	Springer, 1996-12-16
主題	Mathematics / Algebra / GeneralMathematics / Geometry / AlgebraicMathematics / Number TheoryMathematics / Functional Analysis
ISBN	35406202309783540620235
URL	http://books.google.com.hk/books?id=XNUZAQAAIAAJ&hl=&source=gbs_api

註釋

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.