Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth projective surfaces
|
| gptkbp:describes |
rationality of algebraic surfaces
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Castelnuovo's criterion
|
| gptkbp:namedAfter |
gptkb:Guido_Castelnuovo
|
| gptkbp:relatedTo |
birational geometry
geometric genus irregularity rational surface |
| gptkbp:state |
A smooth projective surface over an algebraically closed field of characteristic 0 is rational if and only if its geometric genus and irregularity are both zero.
|
| gptkbp:yearProposed |
1896
|
| gptkbp:bfsParent |
gptkb:Guido_Castelnuovo
|
| gptkbp:bfsLayer |
6
|