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...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1588 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Sommario:
- 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.