Mumford's geometric invariant theory

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:field gptkb:algebraic_geometry
gptkbp:focusesOn actions of algebraic groups on varieties
construction of quotients in algebraic geometry
gptkbp:hasConcept invariant theory
stability
categorical quotient
good quotient
semistability
https://www.w3.org/2000/01/rdf-schema#label Mumford's geometric invariant theory
gptkbp:influenced modern algebraic geometry
moduli theory
gptkbp:introduced gptkb:David_Mumford
gptkbp:introducedIn 1960s
gptkbp:provides method for constructing moduli spaces
gptkbp:publishedIn gptkb:Geometric_Invariant_Theory_(book)
gptkbp:relatedTo gptkb:Hilbert-Mumford_criterion
categorical quotient
reductive group actions
gptkbp:usedFor construction of moduli spaces of curves
construction of moduli spaces of vector bundles
gptkbp:bfsParent gptkb:Algebraic_geometry
gptkbp:bfsLayer 5