Hironaka's theorem

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs resolution of singularities theorem
gptkbp:appliesTo algebraic varieties
characteristic zero
gptkbp:awarded gptkb:mathematics
gptkbp:field gptkb:algebraic_geometry
https://www.w3.org/2000/01/rdf-schema#label Hironaka's theorem
gptkbp:influenced modern algebraic geometry
gptkbp:notProvedFor positive characteristic
gptkbp:provenBy gptkb:Heisuke_Hironaka
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo algebraic varieties
resolution of singularities
singularities
desingularization
fields of characteristic zero
gptkbp:significance solved a major open problem in algebraic geometry
gptkbp:state Every singular algebraic variety over a field of characteristic zero admits a resolution of singularities.
gptkbp:yearProved 1964
gptkbp:bfsParent gptkb:Resolution_of_singularities
gptkbp:bfsLayer 6