Théorie des topos et cohomologie étale des schémas
E884917
Théorie des topos et cohomologie étale des schémas is a foundational multi-volume work in algebraic geometry, originating from Grothendieck’s Séminaire de Géométrie Algébrique, that develops topos theory and étale cohomology of schemes.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Théorie des topos et cohomologie étale des schémas canonical | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
book series
ⓘ
mathematical monograph ⓘ |
| aim |
generalize sheaf cohomology to Grothendieck topologies
ⓘ
provide foundations for étale cohomology ⓘ |
| alsoKnownAs | SGA 4 NERFINISHED ⓘ |
| author |
Alexander Grothendieck
NERFINISHED
ⓘ
Jean-Louis Verdier NERFINISHED ⓘ Michel Artin NERFINISHED ⓘ |
| basedOn | Séminaire de Géométrie Algébrique du Bois Marie NERFINISHED ⓘ |
| develops |
Grothendieck topos
NERFINISHED
ⓘ
cohomology of sheaves on a topos ⓘ l-adic sheaves ⓘ étale site of a scheme ⓘ |
| editor |
Luc Illusie
NERFINISHED
ⓘ
Nick Katz NERFINISHED ⓘ Pierre Deligne NERFINISHED ⓘ |
| field |
algebraic geometry
ⓘ
category theory ⓘ homological algebra ⓘ number theory ⓘ |
| hasPart |
Volume 1: Théorie des topos
ⓘ
Volume 2: Théorie des topos et cohomologie étale des schémas NERFINISHED ⓘ Volume 3: Théorie des topos et cohomologie étale des schémas NERFINISHED ⓘ |
| influenced |
Weil conjectures proofs
ⓘ
arithmetic geometry ⓘ modern algebraic geometry ⓘ motivic cohomology ⓘ |
| language | French ⓘ |
| originalPublicationPeriod | 1960s ⓘ |
| partOf | Séminaire de Géométrie Algébrique du Bois Marie (SGA) NERFINISHED ⓘ |
| publisher | Springer-Verlag NERFINISHED ⓘ |
| relatedWork |
Cohomologie l-adique et fonctions L (SGA 5)
NERFINISHED
ⓘ
Théorie des intersections et théorème de Riemann–Roch (SGA 6) NERFINISHED ⓘ |
| series | Lecture Notes in Mathematics NERFINISHED ⓘ |
| subject |
Grothendieck spectral sequence
NERFINISHED
ⓘ
Grothendieck topologies NERFINISHED ⓘ base change theorems ⓘ cohomological dimension ⓘ constructible sheaves ⓘ derived functors ⓘ finiteness theorems in étale cohomology ⓘ l-adic cohomology ⓘ proper base change ⓘ schemes ⓘ sites ⓘ topos theory ⓘ étale cohomology ⓘ |
| volumeCount | 3 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.