Lectures on Formal and Rigid Geometry

Lectures on Formal and Rigid Geometry

A first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center "Geometrical Structures in Mathematics" at the University of Münster. Its aim was to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid...

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Bibliographic Details
Published in:Springer eBooks
Main Author: Bosch, Siegfried (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Series:Lecture Notes in Mathematics,
Subjects:
mathematics.
Geometry, algebraic.
Number theory.
Mathematics.
Mathematics, general.
Algebraic Geometry.
Number Theory.
Online Access:http://dx.doi.org/10.1007/978-3-319-04417-0
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Table of Contents:
  • Classical Rigid Geometry
  • Tate Algebras
  • Affinoid Algebras and their Associated Spaces
  • Affinoid Functions
  • Towards the Notion of Rigid Spaces
  • Coherent Sheaves on Rigid Spaces
  • Formal Geometry
  • Adic Rings and their Associated Formal Schemes
  • Raynaud's View on Rigid Spaces
  • More Advanced Stuff
  • Appendix
  • References
  • Index.

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