Artin stacks

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:allows nontrivial automorphisms
gptkbp:definedIn schemes
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes gptkb:Deligne–Mumford_stacks
algebraic spaces
gptkbp:heldBy separated
algebraic stacks
2-fibered categories
algebraic stacks with smooth atlas
geometric objects
locally of finite presentation
quasi-separated
smooth cover by a scheme
https://www.w3.org/2000/01/rdf-schema#label Artin stacks
gptkbp:introducedIn 1970s
gptkbp:namedAfter gptkb:Michael_Artin
gptkbp:relatedTo algebraic stacks
gptkbp:requires smooth surjective morphism from a scheme
gptkbp:usedFor gptkb:moduli_problems
gptkbp:usedIn moduli theory
gptkbp:bfsParent gptkb:Michael_Artin
gptkbp:bfsLayer 5