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作者 Scheiderer, Claus, 1959-
書名 Real and Étale cohomology [electronic resource] / Claus Scheiderer
出版項 Berlin ; New York : Springer-Verlag, c1994
國際標準書號 9783540487975 (electronic bk.)
3540487972 (electronic bk.)
book jacket
說明 1 online resource (xxiv, 273 p.) : ill
系列 Lecture notes in mathematics, 0075-8434 ; 1588
Lecture notes in mathematics (Springer-Verlag) ; 1588
附註 Includes bibliographical references (p. [263]-266) and indexes
Description based on print version record
Contents: Part One: Real spectrum and real tale site -- Glueing tale and real tale site -- Limit theorems, stalks, and other basic facts -- Some reminders on Weil restrictions -- Real spectrum of X and tale site of X - -1 -- The fundamental long exact sequence, Cohomological dimension of Xb,I: Reduction to the field case -- Equivariant sheaves for actions of topological groups -- Cohomological dimension of Xb,II: The field case. Part Two: G-toposes -- Inverse limits of G-toposes: Two examples -- High degree cohomology of profinite groups -- Group actions on spaces: Topological versus topos-theoretic constructions -- Quotient topos of a G-topos for G of prime order. Part Three: Comparison theorems -- Base change theorems -- Constructible sheaves and finiteness theorems -- Cohomology of affine varieties -- Relations to the Zariski topology -- Examples and complements
This book makes a systematic study of the relations between the tale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, tale 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 tale cohomology and Grothendieck sites. Independently, it is of interest to people working in the cohomology theory of groups or in topos theory
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鏈接 Print version: Scheiderer, Claus, 1959- Real and Étale cohomology. Berlin ; New York : Springer-Verlag, c1994 3540584366 (DLC) 94034404 (OCoLC)31011145
主題 Homology theory
Geometry, Algebraic
Cohomologie réelle
Cohomologie étale
Structure Artin-Schreier
Géométrie algébrique
Homologie. gtt
Geometrische algebra. gtt
Homologie. ram
Géométrie algébrique. ram
Etalkohomologie. swd
Geometry, Algebraic. fast (OCoLC)fst00940902
Homology theory. fast (OCoLC)fst00959720
Electronic books
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