Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mori's_Cone_Theorem
|
| gptkbp:concerns |
gptkb:minimal_model_program
projective varieties extremal rays |
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mori's theorem
|
| gptkbp:implies |
existence of extremal contractions
|
| gptkbp:namedAfter |
gptkb:Shigefumi_Mori
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:significance |
key result in birational geometry
|
| gptkbp:state |
The cone of curves of a projective variety is generated by classes of rational curves.
|
| gptkbp:usedIn |
classification of higher-dimensional algebraic varieties
|
| gptkbp:yearProved |
1982
|
| gptkbp:bfsParent |
gptkb:Takeaki_Mori
|
| gptkbp:bfsLayer |
6
|