Stacks (mathematics)

GPTKB entity

Statements (36)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:definedIn gptkb:Grothendieck_topologies
gptkbp:field gptkb:algebraic_geometry
gptkbp:formedBy descent theory
fibered categories
2-categories
gptkbp:generalizes sheaf
fibered category
gptkbp:hasApplication intersection theory
deformation theory
algebraic stacks in number theory
moduli of algebraic curves
gptkbp:hasProperty gluing of objects
effective descent
representability
stackification
local triviality
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 Stacks (mathematics)
gptkbp:introduced gptkb:Alexander_Grothendieck
gptkbp:notableExample gptkb:moduli_stack_of_elliptic_curves
moduli stack of vector bundles
gptkbp:referencedIn gptkb:SGA_1
gptkb:SGA_4
The Stacks Project
Laumon and Moret-Bailly's book 'Champs algébriques'
gptkbp:relatedTo gptkb:category_theory
moduli space
sheaf theory
gptkbp:usedIn gptkb:moduli_problems
gptkbp:bfsParent gptkb:Intersection_Theory_on_Stacks_and_Moduli_Spaces
gptkbp:bfsLayer 7