Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Algebraic geometry concept
|
| gptkbp:characteristic |
In characteristic zero, uniruledness is equivalent to the canonical bundle not being pseudo-effective.
|
| gptkbp:citation |
János Kollár, Rational Curves on Algebraic Varieties, Springer, 1996.
|
| gptkbp:defines |
A variety X is uniruled if through every point of X there passes a rational curve.
|
| gptkbp:example |
gptkb:geometry
Ruled surfaces |
| gptkbp:field |
gptkb:Algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Uniruled varieties
|
| gptkbp:opposedBy |
Varieties of general type
|
| gptkbp:property |
Every rationally connected variety is uniruled.
Uniruledness is a birational property. Not every uniruled variety is rationally connected. |
| gptkbp:relatedTo |
gptkb:Rational_varieties
Rationally connected varieties |
| gptkbp:studiedBy |
gptkb:Joe_Harris
gptkb:János_Kollár |
| gptkbp:bfsParent |
gptkb:Fano_varieties
|
| gptkbp:bfsLayer |
6
|