Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
surface |
| gptkbp:anticanonicalBundle |
O(2,2)
|
| gptkbp:automorphismGroup |
PGL(2) x PGL(2) ⋊ Z/2Z
|
| gptkbp:BettiNumber |
b_0=1
b_1=0 b_2=2 b_3=0 b_4=1 |
| gptkbp:canonicalBundle |
O(-2,-2)
|
| gptkbp:contains |
two rulings by P^1
|
| gptkbp:degree |
8
|
| gptkbp:dimensions |
2
|
| gptkbp:field |
any field
|
| gptkbp:HodgeNumber |
h^{1,0}=0
h^{2,0}=0 h^{0,0}=1 h^{0,1}=0 h^{0,2}=0 h^{1,1}=2 |
| https://www.w3.org/2000/01/rdf-schema#label |
P^1 x P^1
|
| gptkbp:intersectionForm |
hyperbolic
|
| gptkbp:isDelPezzoSurface |
true
|
| gptkbp:isMinimal |
true
|
| gptkbp:isomorphicTo |
gptkb:Hirzebruch_surface_F_0
|
| gptkbp:isProjective |
true
|
| gptkbp:isRational |
true
|
| gptkbp:isSmooth |
true
|
| gptkbp:PicardNumber |
2
|
| gptkbp:product |
projective line
|
| gptkbp:bfsParent |
gptkb:Segre_surface
gptkb:Hirzebruch_surface_F_0 |
| gptkbp:bfsLayer |
7
|