Real and Étale Cohomology
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 theor...
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| Main Author: | |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1588 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Real and Étale cohomology, Claus Scheiderer, Berlin, Springer-Verlag, 1994, 1 vol. (XXIV-273 p.), Lecture notes in mathematics, 3-540-58436-6 • Real and Etale Cohomology, Texte imprimé, 9783662172582 |
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| 100 | 1 | |a Scheiderer, Claus, |c mathématicien. | |
| 245 | 1 | 0 | |a Real and Étale Cohomology |c Claus Scheiderer. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1588 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a K-théorie | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Homologie | ||
| 776 | 0 | |0 020894015 |t Real and Étale cohomology |f Claus Scheiderer |c Berlin |n Springer-Verlag |d 1994 |p 1 vol. (XXIV-273 p.) |s Lecture notes in mathematics |z 3-540-58436-6 | |
| 776 | 0 | |t Real and Etale Cohomology |b Texte imprimé |z 9783662172582 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0074269 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-9GBN8C1J-D |z Accès sur la plateforme Istex | |
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