Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
singular varieties
cohomology of algebraic varieties open varieties |
| gptkbp:category |
abelian category
|
| gptkbp:citation |
gptkb:Deligne,_P._(1971)._Théorie_de_Hodge_II._Publications_Mathématiques_de_l'IHÉS.
gptkb:Deligne,_P._(1974)._Théorie_de_Hodge_III._Publications_Mathématiques_de_l'IHÉS. |
| gptkbp:field |
gptkb:algebraic_geometry
complex geometry |
| gptkbp:generalizes |
gptkb:pure_Hodge_structure
|
| gptkbp:hasComponent |
Hodge filtration
weight filtration |
| gptkbp:hasProperty |
functoriality
compatibility with morphisms |
| gptkbp:introduced |
gptkb:Pierre_Deligne
|
| gptkbp:introducedIn |
1970s
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
|
| gptkbp:usedIn |
gptkb:de_Rham_cohomology
arithmetic geometry singular cohomology motivic cohomology |
| gptkbp:bfsParent |
gptkb:Hodge_structure
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
mixed Hodge structure
|