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Rigid analytic geometry and its applications /

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The theory of rigid (analytic) spaces, originally invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties, has undergone significant growth in the last two decades; today the theory has applications to arithmetic algebraic geometry, number theory, the ari...

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Bibliographic Details
Main Author: Fresnel, Jean
Corporate Author: SpringerLink (Online service)
Other Authors: Put, Marius van der, 1941-
Format: eBook
Language:English
Published: Boston : Birkhäuser, [2004]
Series:Progress in mathematics (Boston, Mass.) ; v. 218.
Subjects:
Analytic spaces.
Geometry, Analytic.
Geometry, Algebraic.
Espaces analytiques.
Géométrie analytique.
Géométrie algébrique.
Geometria algebrica.
Rigid-analytischer Raum.
Analytische Geometrie.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface
  • Valued fields and normed spaces
  • The projective line
  • Affinoid algebras
  • Rigid spaces
  • Curves and their reductions
  • Abelian varieties
  • Points of rigid spaces, rigid cohomology
  • Etale cohomology of rigid spaces
  • Covers of algebraic curves
  • References
  • List of Notation
  • Index.