Étale Cohomology of Rigid Analytic Varieties and Adic Spaces |
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Author:
| Huber, Roland |
Series title: | Aspects of Mathematics Ser. |
ISBN: | 978-3-663-09991-8 |
Publication Date: | Jul 2013 |
Publisher: | Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH
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Book Format: | Ebook |
List Price: | USD $69.99 |
Book Description:
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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.
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.