|
gptkbp:instanceOf
|
gptkb:algebraic_geometry
surface
|
|
gptkbp:appearsIn
|
gptkb:Enriques–Kodaira_classification
|
|
gptkbp:automorphismGroup
|
depends on n
|
|
gptkbp:built
|
P(O ⊕ O(n)) over P^1
projective bundle over the projective line
|
|
gptkbp:definedIn
|
complex numbers
|
|
gptkbp:dimensions
|
2
|
|
gptkbp:F_0_isomorphicTo
|
gptkb:P^1_×_P^1
|
|
gptkbp:F_1_isomorphicTo
|
blowup of P^2 at one point
|
|
gptkbp:F_2
|
not isomorphic to P^1 × P^1
|
|
gptkbp:F_n
|
minimal for n ≠ 1
not isomorphic to F_m for n ≠ m, n, m ≥ 0
|
|
gptkbp:F_n_isomorphicTo
|
F_n for n ≥ 0
F_{-n}
|
|
gptkbp:firstDescribed
|
1951
|
|
gptkbp:hasSection
|
unique with negative self-intersection
|
|
gptkbp:hasSectionWithSelfIntersection
|
-n
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Hirzebruch surfaces
|
|
gptkbp:isA
|
rational surface
ruled surface
|
|
gptkbp:namedAfter
|
gptkb:Friedrich_Hirzebruch
|
|
gptkbp:notation
|
F_n
|
|
gptkbp:parameter
|
non-negative integer n
|
|
gptkbp:Picard_number
|
2
|
|
gptkbp:usedAsExampleIn
|
gptkb:algebraic_geometry
|
|
gptkbp:usedIn
|
classification of algebraic surfaces
|
|
gptkbp:bfsParent
|
gptkb:Friedrich_Hirzebruch
|
|
gptkbp:bfsLayer
|
4
|