Voevodsky's motivic cohomology
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:coexistedWith |
étale cohomology (in some cases)
|
| gptkbp:definedIn |
schemes
|
| gptkbp:developedBy |
gptkb:Vladimir_Voevodsky
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:algebraic_K-theory |
| gptkbp:generalizes |
gptkb:Chow_groups
|
| gptkbp:hasApplication |
gptkb:motivic_homotopy_theory
arithmetic geometry algebraic cycles |
| gptkbp:heldBy |
bigraded cohomology theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Voevodsky's motivic cohomology
|
| gptkbp:introducedIn |
1990s
|
| gptkbp:notation |
H^{p,q}(X, A)
|
| gptkbp:partOf |
gptkb:motivic_homotopy_theory
|
| gptkbp:relatedTo |
gptkb:Bloch's_higher_Chow_groups
motives |
| gptkbp:usedFor |
proof of the Milnor conjecture
|
| gptkbp:usedIn |
proof of the Bloch–Kato conjecture
|
| gptkbp:bfsParent |
gptkb:Bloch's_higher_Chow_groups
|
| gptkbp:bfsLayer |
7
|