Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Algebraic geometry concept
|
| gptkbp:defines |
Algebraic varieties birationally equivalent to projective space
|
| gptkbp:dimensions |
Can be defined in any dimension
|
| gptkbp:example |
gptkb:geometry
General cubic threefold Quadric hypersurfaces (dimension at least 2) |
| gptkbp:field |
Defined over arbitrary fields
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rational varieties
|
| gptkbp:notableAchievement |
All smooth projective curves of genus 0 are rational
Not all unirational varieties are rational in dimension 3 or higher |
| gptkbp:notablePerson |
gptkb:Oscar_Zariski
gptkb:Federigo_Enriques |
| gptkbp:property |
Have function field isomorphic to that of projective space
|
| gptkbp:relatedTo |
Birational geometry
Unirational varieties |
| gptkbp:studiedIn |
gptkb:Algebraic_geometry
|
| gptkbp:subclassOf |
gptkb:algebraic_geometry
|
| gptkbp:bfsParent |
gptkb:Fano_varieties
|
| gptkbp:bfsLayer |
6
|