£39.19

Complex Tori and Abelian Varieties (SMF/AMS Texts & Monographs)

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£45.95 £38.39 £40.04 £41.69 £43.34 £44.99 £46.64 09 June 2024 15 November 2024 23 April 2025 29 September 2025 07 March 2026

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Description

This graduate-level textbook introduces the classical theory of complex tori and abelian varieties, while presenting in parallel more modern aspects of complex algebraic and analytic geometry. Beginning with complex elliptic curves, the book moves on to the higher-dimensional case, giving characterizations from different points of view of those complex tori which are abelian varieties, i.e., those that can be holomorphically embedded in a projective space. This allows, on the one hand, for illuminating the computations of nineteenth-century mathematicians, and on the other, familiarizing readers with more recent theories.Complex tori are ideal in this respect: one can perform 'hands-on' computations without the theory being totally trivial. Standard theorems about abelian varieties are proved, and moduli spaces are discussed. Recent results on the geometry and topology of some subvarieties of a complex torus are also included. The book contains numerous examples and exercises. It is a very good starting point for studying algebraic geometry, suitable for graduate students and researchers interested in algebra and algebraic geometry.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
25 August 2005
Listed Since
17 October 2006

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