Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:moduli_space_of_curves
intersection theory moduli space of vector bundles |
| gptkbp:category |
2-category
|
| gptkbp:describedBy |
gptkb:SGA_1
gptkb:SGA_4 |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:category_theory |
| gptkbp:generalizes |
sheaf
|
| gptkbp:hasProperty |
gptkb:Titan
gptkb:algebra cohomology fiber product universal property gerbe fppf topology fpqc topology functor of points descent data base change descent condition effective descent etale topology gluing property moduli interpretation morphism of stacks quotient stack representability representable morphism site of definition stackification |
| gptkbp:hasType |
gptkb:algebraic_geometry
gptkb:Deligne–Mumford_stack gptkb:Artin_stack gptkb:topological_stack differentiable stack |
| https://www.w3.org/2000/01/rdf-schema#label |
Stack (mathematics)
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:relatedTo |
gptkb:Functor
gptkb:website Grothendieck topology moduli space sheaf fibered category groupoid algebraic space category fibered in groupoids |
| gptkbp:usedIn |
gptkb:moduli_problems
|
| gptkbp:bfsParent |
gptkb:Algebraic_stack
|
| gptkbp:bfsLayer |
6
|