Geometric invariant theory

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:abbreviation gptkb:GIT
gptkbp:appliesTo moduli spaces
gptkbp:developedBy gptkb:David_Mumford
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Geometric invariant theory
gptkbp:influenced modern algebraic geometry
gptkbp:introducedIn 1960s
gptkbp:notableWork gptkb:Geometric_Invariant_Theory_(book_by_David_Mumford)
gptkbp:notion gptkb:Hilbert-Mumford_criterion
stability
categorical quotient
good quotient
linearization
quotient variety
semistability
gptkbp:provides methods for constructing quotients in algebraic geometry
gptkbp:relatedTo invariant theory
representation theory
symplectic geometry
moduli of vector bundles
gptkbp:studies actions of groups on algebraic varieties
gptkbp:usedFor constructing moduli spaces of curves
studying stability conditions
gptkbp:bfsParent gptkb:algebraic_geometry
gptkbp:bfsLayer 5