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Real and Étale Cohomology
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Real and Étale Cohomology ([EBook] /) / by Claus Scheiderer.
Author
Scheiderer, Claus
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details
XXIV, 284 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1588
ISBN
9783540487975
Summary Note
This book makes a systematic study of the relations between the étale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, étale cohomology is cohomology of the real spectrum. It also contains new contributions in group cohomology and in topos theory. It is of interest to graduate students and researchers who work in algebraic geometry (not only real) and have some familiarity with the basics of étale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory.:
Contents note
Real spectrum and real étale site -- Glueing étale and real étale site -- Limit theorems, stalks, and other basic facts -- Some reminders on Weil restrictions -- Real spectrum of X and étale site of -- The fundamental long exact sequence -- Cohomological dimension of X b , I: Reduction to the field case -- Equivariant sheaves for actions of topological groups -- Cohomological dimension of X b , II: The field case -- G-toposes -- Inverse limits of G-toposes: Two examples -- Group actions on spaces: Topological versus topos-theoretic constructions -- Quotient topos of a G-topos, for G of prime order -- Comparison theorems -- Base change theorems -- Constructible sheaves and finiteness theorems -- Cohomology of affine varieties -- Relations to the Zariski topology -- Examples and complements.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0074269
Links to Related Works
Subject References:
Algebraic Geometry
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Group theory
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Group Theory and Generalizations
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K-Theory
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Mathematics
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Authors:
Scheiderer, Claus
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
516.35
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