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gptkbp:instanceOf
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gptkb:algebraic_geometry
gptkb:surface
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gptkbp:appearsIn
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gptkb:Enriques–Kodaira_classification
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gptkbp:automorphismGroup
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depends on n
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gptkbp:built
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P(O ⊕ O(n)) over P^1
projective bundle over the projective line
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gptkbp:definedIn
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complex numbers
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gptkbp:dimensions
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2
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gptkbp:F_0_isomorphicTo
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gptkb:P^1_×_P^1
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gptkbp:F_1_isomorphicTo
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blowup of P^2 at one point
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gptkbp:F_2
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not isomorphic to P^1 × P^1
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gptkbp:F_n
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minimal for n ≠ 1
not isomorphic to F_m for n ≠ m, n, m ≥ 0
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gptkbp:F_n_isomorphicTo
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F_n for n ≥ 0
F_{-n}
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gptkbp:firstDescribed
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1951
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gptkbp:hasSection
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unique with negative self-intersection
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gptkbp:hasSectionWithSelfIntersection
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-n
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gptkbp:isA
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gptkb:ruled_surface
rational surface
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gptkbp:namedAfter
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gptkb:Friedrich_Hirzebruch
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gptkbp:notation
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F_n
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gptkbp:parameter
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non-negative integer n
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gptkbp:Picard_number
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2
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gptkbp:usedAsExampleIn
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gptkb:algebraic_geometry
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gptkbp:usedIn
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classification of algebraic surfaces
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gptkbp:bfsParent
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gptkb:Friedrich_Hirzebruch
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gptkbp:bfsLayer
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5
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https://www.w3.org/2000/01/rdf-schema#label
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Hirzebruch surfaces
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