rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Real and Étale cohomology
  name:
    name part: Scheiderer, Claus
    name part: 1959-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxiv, 273 pages) : illustrations.
  abstract: 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.
  table of 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.
  note: Claus Scheiderer.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [263]-266) and indexes.
  subject:
    topic: Homology theory
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Cohomologie réelle
  subject:
    topic: Cohomologie étale
  subject:
    topic: Topos
  subject:
    topic: Structure Artin-Schreier
  subject:
    topic: Homologie
  subject:
    topic: Géométrie algébrique
  subject:
    topic: Geometry, Algebraic
  subject:
    topic: Homology theory
  subject:
    topic: Homologie
  subject:
    topic: Geometrische algebra
  subject:
    topic: Homologie
  subject:
    topic: Géométrie algébrique
  subject:
    topic: Etalkohomologie
  classification: QA3 .L28 no. 1588
  classification: QA612.3
  classification: 510 s 514/.23
  classification: 31.51
  related item:
    title info:
      title: Real and Étale cohomology
    name:
      name part: Scheiderer, Claus, 1959-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1994
    identifier: (DLC) 94034404
    identifier: (OCoLC)31011145
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1588
  identifier: 9783540487975 (electronic bk.)
  identifier: 3540487972 (electronic bk.)
  identifier: 9780387584362
  identifier: 0387584366
  identifier: 9783540584360
  identifier: 3540584366
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 090118
    record change date: 20260422210749.1
    record identifier: in00003506291
    language of cataloging:
      language term: eng