000 03281nam a22005055i 4500
001 978-3-540-48797-5
003 DE-He213
005 20190213151503.0
007 cr nn 008mamaa
008 121227s1994 gw | s |||| 0|eng d
020 _a9783540487975
_9978-3-540-48797-5
024 7 _a10.1007/BFb0074269
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aScheiderer, Claus.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aReal and Étale Cohomology
_h[electronic resource] /
_cby Claus Scheiderer.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1994.
300 _aXXIV, 284 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1588
505 0 _aReal 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.
520 _aThis 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.
650 0 _aGeometry, algebraic.
650 0 _aK-theory.
650 0 _aGroup theory.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662172582
776 0 8 _iPrinted edition:
_z9783540584360
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1588
856 4 0 _uhttps://doi.org/10.1007/BFb0074269
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10845
_d10845