Introduction to Abelian Varieties (Crm Monograph Series)

The book represents an introduction to the theory of abelian varieties with a view to arithmetic. The aim is to introduce some of the basics of the theory as well as some recent arithmetic applications to graduate students and researchers in other fields. The first part contains proofs of the Abel-Jacobi theorem, Riemann's relations and the Lefschetz theorem on projective embeddings over the complex numbers in the spirit of S. Lang's book Introduction to algebraic and abelian functions. Then the Jacobians of Fermat curves as well as some modular curves are discussed. Finally, as an application, Faltings' proof of the Mordell conjecture and its intermediate steps, the Tate conjecture and the Shafarevich conjecture, are sketched. -- H. Lange for MathSciNet

Introduction to Abelian Varieties

Vijaya Kumar Murty

American Mathematical Soc.

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Books by Vijaya Kumar Murty

See the best price to sell, buy, or rent books by Vijaya Kumar Murty. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Introduction to Abelian Varieties