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
|
| 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_of_Embedded_Algebraic_Surfaces
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hironaka's theorem
|