Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
complex manifolds
complex algebraic varieties |
| gptkbp:describedBy |
gptkb:Deligne,_P._Théorie_de_Hodge_II,_Publ._Math._IHES,_1971
|
| gptkbp:encodes |
Hodge-theoretic information
arithmetic information |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:mathematics differential geometry |
| gptkbp:generalizes |
classical cohomology theories
|
| gptkbp:heldBy |
a functorial cohomology theory
a mixed Hodge structure hypercohomology of the Deligne complex |
| https://www.w3.org/2000/01/rdf-schema#label |
Deligne cohomology
|
| gptkbp:introducedIn |
1971
|
| gptkbp:namedAfter |
gptkb:Pierre_Deligne
|
| gptkbp:relatedTo |
gptkb:Chow_group
gptkb:Betti_cohomology gptkb:de_Rham_cohomology singular cohomology regulator map |
| gptkbp:usedFor |
cycle class maps
defining intermediate Jacobians regulator maps in K-theory |
| gptkbp:usedIn |
gptkb:Hodge_theory
arithmetic geometry motivic cohomology |
| gptkbp:bfsParent |
gptkb:Pierre_Deligne
|
| gptkbp:bfsLayer |
4
|