Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
product variety |
| gptkbp:anticanonicalBundle |
O(2,2)
|
| gptkbp:automorphismGroup |
gptkb:PGL(2)_×_PGL(2)_⋉_Z/2Z
|
| gptkbp:BettiNumber_b_2 |
2
|
| gptkbp:canonicalBundle |
O(-2,-2)
|
| gptkbp:ChowRing |
Z[x,y]/(x^2,y^2)
|
| gptkbp:degree |
8
|
| gptkbp:dimensions |
2
|
| gptkbp:fibrationOver |
P^1
|
| gptkbp:hasBidegreeDivisors |
true
|
| gptkbp:hasRuledSurfaceStructure |
true
|
| gptkbp:hasTwoFibrations |
true
|
| gptkbp:HodgeNumber_h^{1,1} |
2
|
| https://www.w3.org/2000/01/rdf-schema#label |
P^1 × P^1
|
| gptkbp:intersectionForm |
gptkb:hyperbolic_plane
|
| gptkbp:isDelPezzoSurface |
true
|
| gptkbp:isMinimal |
true
|
| gptkbp:isomorphicTo |
gptkb:Hirzebruch_surface_F_0
|
| gptkbp:isProjective |
true
|
| gptkbp:isRational |
true
|
| gptkbp:isSmooth |
true
|
| gptkbp:isToric |
true
|
| gptkbp:PicardGroup |
Z ⊕ Z
|
| gptkbp:rank |
gptkb:Field
|
| gptkbp:bfsParent |
gptkb:Hirzebruch_surfaces
|
| gptkbp:bfsLayer |
5
|