Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:citation |
gptkb:Grothendieck's_Local_Cohomology_Lecture_Notes_(1967)
gptkb:Hartshorne's_Local_Cohomology_(1967) |
| gptkbp:computes |
gptkb:Čech_complex
|
| gptkbp:definedIn |
Modules over commutative rings
|
| gptkbp:field |
gptkb:Algebraic_geometry
gptkb:Commutative_algebra |
| gptkbp:generalizes |
gptkb:Koszul_cohomology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Local cohomology
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:notation |
H^i_I(M)
|
| gptkbp:parameter |
gptkb:Ideal_I
Module M |
| gptkbp:relatedTo |
gptkb:Sheaf_cohomology
gptkb:Spectral_sequences Derived functors Support of a module |
| gptkbp:usedFor |
Cohomological dimension
Depth of modules Studying local properties of schemes |
| gptkbp:bfsParent |
gptkb:Sheaf_cohomology
|
| gptkbp:bfsLayer |
6
|