Étale cohomology with compact support
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
schemes
|
| gptkbp:citation |
gptkb:SGA_4
gptkb:SGA_5 J.S. Milne, Étale Cohomology |
| gptkbp:coefficientSheaf |
étale sheaf
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
singular cohomology with compact support
|
| https://www.w3.org/2000/01/rdf-schema#label |
Étale cohomology with compact support
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:notation |
H^i_c(X, F)
|
| gptkbp:property |
long exact sequence
Poincaré duality (in some cases) functorial |
| gptkbp:relatedTo |
gptkb:étale_cohomology
|
| gptkbp:usedFor |
studying algebraic varieties
|
| gptkbp:usedIn |
gptkb:Weil_conjectures
arithmetic geometry |
| gptkbp:bfsParent |
gptkb:Etale_cohomology
|
| gptkbp:bfsLayer |
6
|