Introduction to Abelian Varieties

Released on by Vijaya Kumar Murty
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  • Introduction to Abelian Varieties Book Detail

  • Author : Vijaya Kumar Murty
  • Release Date : 1993
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 128
  • ISBN 13 : 0821811797
  • File Size : 77,77 MB
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Introduction to Abelian Varieties by Vijaya Kumar Murty PDF Summary

Book Description: This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, number theory, and complex analysis. The book is based on notes from a course given at Concordia University and would be useful for independent study or as a textbook for graduate courses in complex analysis, Riemann surfaces, number theory, or analytic geometry. Murty works mostly over the complex numbers, discussing the theorem of Abel-Jacobi and Lefschetz's theorem on projective embeddings. After presenting some examples, Murty touches on Abelian varieties over number fields, as well as the conjecture of Tate (Faltings's theorem) and its relation to Mordell's conjecture. References are provided to guide the reader in further study.

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Introduction to Abelian Varieties

Introduction to Abelian Varieties

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This book presents an elementary and self-contained approach to Abelian varieties, a subject that plays a central role in algebraic and analytic geometry, numbe

Complex Abelian Varieties

Complex Abelian Varieties

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Abelian varieties are special examples of projective varieties. As such theycan be described by a set of homogeneous polynomial equations. The theory ofabelian

Abelian Varieties

Abelian Varieties

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It is with considerable pleasure that we have seen in recent years the simplifications expected by Weil realize themselves, and it has seemed timely to incorpor