Deligne–Mumford stacks

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkb:mathematical_concept
gptkbp:appearsIn moduli theory
algebraic stacks theory
gptkbp:characterizedBy étale cover by a scheme
gptkbp:example gptkb:moduli_stack_of_elliptic_curves
moduli stack of stable curves
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes moduli space
gptkbp:hasProperty finite stabilizer groups
representable diagonal
unramified diagonal
gptkbp:hasSubgroup algebraic stacks
https://www.w3.org/2000/01/rdf-schema#label Deligne–Mumford stacks
gptkbp:introduced gptkb:David_Mumford
gptkb:Pierre_Deligne
gptkbp:introducedIn 1969
gptkbp:namedAfter gptkb:David_Mumford
gptkb:Pierre_Deligne
gptkbp:referencedIn Deligne, P.; Mumford, D. (1969). The irreducibility of the space of curves of given genus. Publications Mathématiques de l'IHÉS.
gptkbp:relatedTo gptkb:Artin_stacks
moduli stack of curves
gptkbp:usedFor gptkb:moduli_problems
gptkbp:bfsParent gptkb:Artin_stacks
gptkbp:bfsLayer 6