Deligne–Mumford compactification
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Deligne–Mumford compactification
|
| 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 moduli space stable curves |
| gptkbp:usedIn |
gptkb:string_theory
intersection theory enumerative geometry |
| gptkbp:bfsParent |
gptkb:Mumford's_compactness_theorem
gptkb:moduli_space_of_curves |
| gptkbp:bfsLayer |
6
|