Castelnuovo's rationality criterion
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
algebraically closed field of characteristic 0
smooth projective surfaces |
| gptkbp:concerns |
rational surfaces
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Castelnuovo's rationality criterion
|
| gptkbp:implies |
classification of rational surfaces
|
| gptkbp:namedAfter |
gptkb:Guido_Castelnuovo
|
| gptkbp:publishedIn |
1896
|
| gptkbp:relatedTo |
gptkb:Enriques–Kodaira_classification
|
| 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:bfsParent |
gptkb:Guido_Castelnuovo
|
| gptkbp:bfsLayer |
6
|