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Book synopsis

The subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference.§The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed.§Some special results on Jacobians and Prym varieties allow applications to the theory of algebraic curves.This edition contains five new chapters which present some of the most important recent result on the subject. Among them are results on automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture.

Book details

Book category Books in English Mathematics & science Mathematics Groups & group theory

• Full title: Complex Abelian Varieties
• Author: Christina Birkenhake
• Language: English
• Binding: Hardback
• Number of pages: 638
• EAN: 9783540204886
• ISBN: 3540204881
• ID: 01558782
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1088 g
• Dimensions: 240 × 166 × 36 mm
• Date of publishing: 22. April 2004

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