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Etale Cohomology of Rigid Analytic Varieties and Adic Spaces

Bag om Etale Cohomology of Rigid Analytic Varieties and Adic Spaces

The aim of this book is to give an introduction to adic spaces and to develop systematically their étale cohomology. First general properties of the étale topos of an adic space are studied, in particular the points and the constructible sheaves of this topos. After this the basic results on the étale cohomology of adic spaces are proved: base change theorems, finiteness, Poincaré duality, comparison theorems with the algebraic case.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783663099925
  • Indbinding:
  • Paperback
  • Sideantal:
  • 460
  • Udgivet:
  • 29. april 2013
  • Udgave:
  • 11996
  • Størrelse:
  • 246x172x28 mm.
  • Vægt:
  • 782 g.
  • 8-11 hverdage.
  • 10. december 2024
Forlænget returret til d. 31. januar 2025

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The aim of this book is to give an introduction to adic spaces and to develop systematically their étale cohomology. First general properties of the étale topos of an adic space are studied, in particular the points and the constructible sheaves of this topos. After this the basic results on the étale cohomology of adic spaces are proved: base change theorems, finiteness, Poincaré duality, comparison theorems with the algebraic case.

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