Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Kähler_manifold
|
| gptkbp:Betti_numbers |
depend on the specific threefold
|
| gptkbp:canBe |
gptkb:quintic_threefold
complete intersection hypersurface in projective space |
| gptkbp:dimensions |
3
|
| gptkbp:first_Chern_class |
zero
|
| gptkbp:has_trivial_canonical_bundle |
true
|
| gptkbp:Hodge_numbers |
h^{1,1} and h^{2,1} are important invariants
|
| gptkbp:holonomy_group |
gptkb:SU(3)
|
| gptkbp:relatedTo |
gptkb:Kähler_manifold
gptkb:Calabi_conjecture gptkb:Yau's_theorem string compactification |
| gptkbp:Ricci_curvature |
zero
|
| gptkbp:studiedBy |
gptkb:algebraic_geometry
differential geometry |
| gptkbp:used_in |
gptkb:string_theory
gptkb:mirror_symmetry |
| gptkbp:bfsParent |
gptkb:Donaldson-Thomas_invariant
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Calabi-Yau threefold
|