Hilbert scheme of points on a K3 surface
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
hyperkähler manifold irreducible holomorphic symplectic manifold |
| gptkbp:definedIn |
gptkb:K3_surface
|
| gptkbp:deformationEquivalentTo |
generalized Kummer variety
|
| gptkbp:dimensions |
2n
|
| gptkbp:firstConstructedBy |
gptkb:Arnaud_Beauville
|
| gptkbp:generalizes |
gptkb:K3_surface
|
| gptkbp:hasBettiNumbers |
given by Göttsche's formula
|
| gptkbp:hasSpecialCase |
Hilbert scheme of points on a surface
|
| gptkbp:hasSymplecticStructure |
yes
|
| gptkbp:hasTrivialCanonicalBundle |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert scheme of points on a K3 surface
|
| gptkbp:irreducible |
yes
|
| gptkbp:parameter |
zero-dimensional subschemes of length n on a K3 surface
|
| gptkbp:projective |
yes
|
| gptkbp:simplyConnected |
yes
|
| gptkbp:smooth |
yes
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
moduli theory hyperkähler geometry |
| gptkbp:bfsParent |
gptkb:hyperkähler_manifolds
|
| gptkbp:bfsLayer |
7
|