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Étale Cohomology of Rigid Analytic Varieties and Adic Spaces de Roland Huber

Étale Cohomology of Rigid Analytic Varieties and Adic Spaces: Aspects of Mathematics, cartea 30

Autor Roland Huber
en Limba Engleză Paperback – 3 oct 2013
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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Specificații

ISBN-13: 9783663099925
ISBN-10: 366309992X
Pagini: 464
Ilustrații: X, 450 p.
Dimensiuni: 170 x 244 x 24 mm
Greutate: 0.74 kg
Ediția:Softcover reprint of the original 1st ed. 1996
Editura: Vieweg+Teubner Verlag
Colecția Vieweg+Teubner Verlag
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Graduate

Cuprins

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.

Notă biografică

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.  

Textul de pe ultima copertă

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.  

Caracteristici

Modern research in number theory and algebraic geometry Gives an introduction to adic spaces and develops systematically their étale cohomology For graduate students and research mathematicians