Hilbert scheme

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:describes parameter space of subschemes
gptkbp:field gptkb:algebraic_geometry
gptkbp:generalizes gptkb:Hilbert_polynomial
gptkbp:hasApplication classification of algebraic varieties
study of families of curves
study of families of surfaces
theory of moduli spaces
gptkbp:hasProperty fine moduli space
projective scheme
https://www.w3.org/2000/01/rdf-schema#label Hilbert scheme
gptkbp:introduced gptkb:Alexander_Grothendieck
gptkbp:introducedIn 1961
gptkbp:namedAfter gptkb:David_Hilbert
gptkbp:relatedTo gptkb:Quot_scheme
Grassmannian
moduli space
gptkbp:studiedIn gptkb:algebraic_geometry
gptkbp:usedIn intersection theory
deformation theory
enumerative geometry
gptkbp:bfsParent gptkb:algebraic_geometry
gptkb:Algebraic_geometry
gptkbp:bfsLayer 5