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Etale cohomology of rigid analytic varieties and adic spaces

By: Series: Aspects of mathematics; E, 0179-2156: Vol.30Publication details: Vieweg, 1996 Braunschweig: Description: x, 450p. pb; 24 cmISBN:
  • 9783663099925
Subject(s): DDC classification:
  • 516.35 HUB
Summary: The aim of this book is to give an introduction to adic spaces and to develop systematically their tale cohomology. First general properties of the tale 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 tale cohomology of adic spaces are proved: base change theorems, finiteness, Poincar duality, comparison theorems with the algebraic case.
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Books Books IIT Gandhinagar General Stacks 516.35 HUB (Browse shelf(Opens below)) 1 Available 028482

The aim of this book is to give an introduction to adic spaces and to develop systematically their tale cohomology. First general properties of the tale 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 tale cohomology of adic spaces are proved: base change theorems, finiteness, Poincar duality, comparison theorems with the algebraic case.

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