Rigid Analytic Geometry and Its Applications

Released on by Jean Fresnel
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  • Rigid Analytic Geometry and Its Applications Book Detail

  • Author : Jean Fresnel
  • Release Date : 2003-11-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 320
  • ISBN 13 : 9780817642068
  • File Size : 38,38 MB
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Rigid Analytic Geometry and Its Applications by Jean Fresnel PDF Summary

Book Description: Rigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology. The exposition is concise, self-contained, rich in examples and exercises, and will serve as an excellent graduate-level text for the classroom or for self-study.

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Foundations of Rigid Geometry I

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Rigid geometry is one of the modern branches of algebraic and arithmetic geometry. It has its historical origin in J. Tate's rigid analytic geometry, which aime

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The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, t