derived category of coherent sheaves
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:moduli_problems
gptkb:mirror_symmetry representation theory birational geometry |
| gptkbp:category |
complexes of coherent sheaves
|
| gptkbp:definedIn |
gptkb:algebraic_geometry
scheme |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
derived category of abelian category
|
| https://www.w3.org/2000/01/rdf-schema#label |
derived category of coherent sheaves
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:morphismType |
morphism of complexes up to homotopy
|
| gptkbp:notation |
D^b(Coh(X))
|
| gptkbp:property |
triangulated category
|
| gptkbp:relatedTo |
derived category
coherent sheaf |
| gptkbp:subclassOf |
derived category of quasi-coherent sheaves
|
| gptkbp:type |
complex of coherent sheaves
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
homological algebra |
| gptkbp:bfsParent |
gptkb:mirror_symmetry
|
| gptkbp:bfsLayer |
5
|