Mori theory

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:alsoKnownAs gptkb:Minimal_Model_Program
gptkbp:awarded gptkb:Fields_Medal_(to_Shigefumi_Mori,_1990)
gptkbp:developedBy 1980s
gptkbp:field gptkb:algebraic_geometry
gptkbp:focusesOn classification of higher-dimensional algebraic varieties
gptkbp:goal birational classification of algebraic varieties
gptkbp:hasConcept extremal ray
fibrations
flips
minimal model
https://www.w3.org/2000/01/rdf-schema#label Mori theory
gptkbp:influencedBy gptkb:Italian_school_of_algebraic_geometry
gptkbp:namedAfter gptkb:Shigefumi_Mori
gptkbp:notableAchievement Mori's proof of the existence of minimal models for threefolds
gptkbp:relatedTo gptkb:Fano_varieties
gptkb:Kawamata_log_terminal_singularities
gptkb:canonical_bundle
birational geometry
singularities
rational curves
gptkbp:usedIn classification of algebraic surfaces
higher-dimensional geometry
gptkbp:bfsParent gptkb:Shigefumi_Mori
gptkbp:bfsLayer 4