|
gptkbp:instanceOf
|
gptkb:algebraic_geometry
surface
|
|
gptkbp:automorphismGroup
|
infinite (in general)
|
|
gptkbp:compact
|
true
|
|
gptkbp:dimensions
|
2
|
|
gptkbp:Euler_characteristic
|
24
|
|
gptkbp:example
|
gptkb:Kummer_surface
gptkb:Fermat_quartic_surface
double cover of the plane branched along a smooth sextic
|
|
gptkbp:firstChernClass
|
0
|
|
gptkbp:hasBettiNumber
|
b_2=22
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasGlobalHolomorphic2Form
|
true
|
|
gptkbp:hasHodgeNumber
|
h^{1,0}=0
h^{2,0}=1
|
|
gptkbp:hasLattice
|
gptkb:K3_lattice
|
|
gptkbp:hasModuliSpaceDimension
|
20
|
|
gptkbp:hasNoHolomorphic1Forms
|
true
|
|
gptkbp:hasNoNontrivialAlgebraicVectorFields
|
true
|
|
gptkbp:hasNoNontrivialGlobal1Forms
|
true
|
|
gptkbp:hasNoNontrivialHolomorphicVectorFields
|
true
|
|
gptkbp:hasPicardNumber
|
0 to 20
|
|
gptkbp:hasTorelliTheorem
|
true
|
|
gptkbp:hasTrivialCanonicalBundle
|
true
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
K3 surfaces
|
|
gptkbp:importantFor
|
gptkb:Hodge_theory
gptkb:mirror_symmetry
lattice theory
string compactification
moduli theory
|
|
gptkbp:isCalabiYau
|
true
|
|
gptkbp:isKählerManifold
|
true
|
|
gptkbp:isProjective
|
sometimes
|
|
gptkbp:isSmooth
|
true
|
|
gptkbp:namedAfter
|
gptkb:Erich_Kähler
gptkb:Kunihiko_Kodaira
gptkb:Ernst_Kummer
|
|
gptkbp:relatedTo
|
gptkb:string_theory
gptkb:Enriques_surface
gptkb:elliptic_curve
Kähler manifold
quartic surface
|
|
gptkbp:signature
|
-16
|
|
gptkbp:studiedIn
|
gptkb:algebraic_geometry
differential geometry
mathematical physics
complex geometry
|
|
gptkbp:universalCover
|
itself
|
|
gptkbp:bfsParent
|
gptkb:Fano_varieties
gptkb:Enriques–Kodaira_classification
|
|
gptkbp:bfsLayer
|
6
|