Minimal Model Program

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:alsoKnownAs gptkb:MMP
gptkbp:developedBy 1980s
gptkbp:field gptkb:algebraic_geometry
gptkbp:goal classify higher-dimensional algebraic varieties
https://www.w3.org/2000/01/rdf-schema#label Minimal Model Program
gptkbp:influenced modern birational classification
gptkbp:influencedBy gptkb:Italian_school_of_algebraic_geometry
gptkbp:notableAchievement Mori's proof of the existence of minimal models for 3-folds
existence of flips in dimension 3
gptkbp:openProblem existence of minimal models in all dimensions
termination of flips in higher dimensions
gptkbp:originatedIn gptkb:Shigefumi_Mori
gptkbp:relatedTo gptkb:Fano_variety
gptkb:Mori_fiber_space
birational geometry
canonical divisor
minimal model
flip
flop
divisorial contraction
gptkbp:bfsParent gptkb:Mori_theory
gptkbp:bfsLayer 5