Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
surface |
| gptkbp:appearsIn |
gptkb:Enriques–Kodaira_classification
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
2
|
| gptkbp:F_0 |
gptkb:P^1_×_P^1
|
| gptkbp:F_0_isomorphicTo |
product of two projective lines
|
| gptkbp:F_1 |
blowup of P^2 at one point
|
| gptkbp:F_1_isomorphicTo |
gptkb:blowup_of_projective_plane_at_one_point
|
| gptkbp:F_2 |
minimal rational surface not isomorphic to P^1 × P^1
|
| gptkbp:F_n |
gptkb:projective_bundle_over_projective_line
P(O ⊕ O(n)) over P^1 rational surface |
| gptkbp:F_n_isomorphicTo_F_m_iff |
n = m or n + m = 0
|
| gptkbp:hasSectionWithSelfIntersection |
-n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hirzebruch surface
|
| gptkbp:isFamilyOf |
ruled surfaces
|
| gptkbp:namedAfter |
gptkb:Friedrich_Hirzebruch
|
| gptkbp:notation |
F_n
|
| gptkbp:parameter |
integer n ≥ 0
|
| gptkbp:usedIn |
classification of algebraic surfaces
|
| gptkbp:bfsParent |
gptkb:toric_varieties
gptkb:toric_variety |
| gptkbp:bfsLayer |
6
|