Étale Cohomology of Rigid Analytic Varieties and Adic Spaces

by Roland Huber

Overview

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.

Product Details

ISBN-13:	9783663099925
Publisher:	Vieweg+Teubner Verlag
Publication date:	10/03/2013
Series:	Aspects of Mathematics , #30
Edition description:	Softcover reprint of the original 1st ed. 1996
Pages:	450
Product dimensions:	6.69(w) x 9.61(h) x (d)

About the Author

Prof. Dr. Roland Huber is Professor of Mathematics at the Department of Mathematics and Informatics in the School of Mathematics and Natural Sciences of the University of Wuppertal, Germany.

Table of Contents

Étale cohomology of rigid analytic varieties (summary).- 1 Adic spaces.- 2 The étale site of a rigid analytic variety and an adic space.- 3 Comparison theorems.- 4 Base change theorems.- 5 Cohomology with compact support.- 6 Finiteness.- 7 Poincaré Duality.- 8 Partially proper sites of rigid analytic varieties and adic spaces.- A Appendix.- Index of notations.- Index of terminology.