Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
smooth projective varieties
|
| gptkbp:example |
gptkb:crystalline_cohomology
gptkb:étale_cohomology gptkb:de_Rham_cohomology singular cohomology |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:hasAxiom |
dimension axiom
excision homotopy invariance |
| https://www.w3.org/2000/01/rdf-schema#label |
Weil cohomology theories
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:André_Weil
|
| gptkbp:property |
contravariant functor
finite-dimensionality satisfies Künneth formula satisfies Poincaré duality satisfies cycle map |
| gptkbp:relatedTo |
motives
|
| gptkbp:usedFor |
studying algebraic cycles
formulating the Weil conjectures |
| gptkbp:bfsParent |
gptkb:Grothendieck's_theory_of_motives
|
| gptkbp:bfsLayer |
6
|