Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:anticanonicalBundle |
ample
|
| gptkbp:anticanonicalDivisor |
ample
|
| gptkbp:class |
gptkb:Fano_threefolds_classified_by_Iskovskih_and_Mori–Mukai
del Pezzo surfaces are 2-dimensional Fano varieties |
| gptkbp:defines |
A smooth projective variety whose anticanonical bundle is ample
|
| gptkbp:dimensions |
can be any positive integer
|
| gptkbp:example |
gptkb:geometry
gptkb:del_Pezzo_surface gptkb:smooth_quadric_hypersurface |
| gptkbp:field |
gptkb:Algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Fano variety
|
| gptkbp:importantFor |
central in birational geometry
important in classification of algebraic varieties |
| gptkbp:namedAfter |
gptkb:Gino_Fano
|
| gptkbp:property |
rationally connected
finite number of deformation types in each dimension |
| gptkbp:rank |
algebraically closed field
|
| gptkbp:relatedTo |
gptkb:Mori_theory
gptkb:Calabi–Yau_variety Minimal model program |
| gptkbp:bfsParent |
gptkb:algebraic_geometry
gptkb:Kähler_manifold |
| gptkbp:bfsLayer |
5
|