algebraic de Rham cohomology
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
schemes
smooth algebraic varieties |
| gptkbp:definedIn |
fields of characteristic zero
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology |
| gptkbp:generalizes |
de Rham cohomology for manifolds
|
| gptkbp:hasComparisonTheoremWith |
singular cohomology (over complex numbers)
|
| gptkbp:heldBy |
cohomology of the de Rham complex
|
| https://www.w3.org/2000/01/rdf-schema#label |
algebraic de Rham cohomology
|
| gptkbp:importantFor |
arithmetic geometry
motivic cohomology |
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:relatedTo |
gptkb:Hodge_theory
gptkb:étale_cohomology gptkb:de_Rham_cohomology singular cohomology |
| gptkbp:usedFor |
studying algebraic varieties
computing invariants of varieties |
| gptkbp:uses |
differential forms
algebraic differential forms |
| gptkbp:bfsParent |
gptkb:de_Rham_cohomology
|
| gptkbp:bfsLayer |
6
|