Étale Cohomology of Rigid Analytic Varieties and Adic Spaces
Published on 3. October 2013
Book
Paperback/Softback
X, 450 pages
978-3-663-09992-5 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1996
Language
English
Place of publication
Wiesbaden
Germany
Publishing group
Vieweg & Teubner
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
X, 450 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 25 mm
Weight
794 gr
ISBN-13
978-3-663-09992-5 (9783663099925)
DOI
10.1007/978-3-663-09991-8
Schweitzer Classification
Other editions
Additional editions
E-Book
07/2013
Vieweg+Teubner Verlag
€128.39
Available for download
Book
01/1996
Vieweg+Teubner Verlag
€49.99
Article exhausted; check different version
Person
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.
Content
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.