Deligne–Mumford compactification

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept gptkb:moduli_space
gptkbp:citation	gptkb:Deligne,_P.;_Mumford,_D._(1969),_The_irreducibility_of_the_space_of_curves_of_given_genus,_Publications_Mathématiques_de_l'IHÉS,_36:_75–109
gptkbp:compactifies	moduli space of smooth algebraic curves
gptkbp:contains	moduli space of smooth curves as open dense subset
gptkbp:describes	compactification of moduli space of algebraic curves
gptkbp:field	gptkb:algebraic_geometry
gptkbp:generalizes	moduli space of smooth curves
gptkbp:introduced	gptkb:David_Mumford gptkb:Pierre_Deligne
gptkbp:introducedIn	1969
gptkbp:notation	\overline{\mathcal{M}}_g
gptkbp:relatedTo	gptkb:algebraic_geometry gptkb:moduli_space_of_curves gptkb:moduli_space stable curves
gptkbp:usedIn	gptkb:string_theory intersection theory enumerative geometry
gptkbp:bfsParent	gptkb:Mumford's_compactness_theorem gptkb:moduli_space_of_Riemann_surfaces gptkb:moduli_space_of_curves
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	Deligne–Mumford compactification