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gptkbp:instanceOf
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gptkb:projective_variety
gptkb:Kähler_manifold
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gptkbp:automorphismGroup
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gptkb:PGL(3,C)
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gptkbp:Betti_numbers
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1, 0, 1, 0, 1
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gptkbp:blowup
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del Pezzo surfaces
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gptkbp:canonical_bundle
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gptkb:O(-3)
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|
gptkbp:compact
|
true
|
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gptkbp:dimensions
|
2
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gptkbp:Euler_characteristic
|
3
|
|
gptkbp:example
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gptkb:Fano_variety
rational surface
|
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gptkbp:field
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complex numbers
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gptkbp:firstChernClass
|
positive
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gptkbp:fullName
|
gptkb:complex_projective_plane
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gptkbp:fundamentalGroup
|
trivial
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gptkbp:Hodge_diamond
|
1 0 1 0 1
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gptkbp:homology
|
Z, 0, Z, 0, Z
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|
gptkbp:intersectionForm
|
1
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gptkbp:Kähler_manifold
|
true
|
|
gptkbp:line_bundle
|
O(1)
|
|
gptkbp:Picard_group
|
Z
|
|
gptkbp:pointsSystem
|
[z0:z1:z2] in C^3 \ {0} modulo scalar
|
|
gptkbp:real_dimension
|
4
|
|
gptkbp:simplyConnected
|
true
|
|
gptkbp:symplectic_manifold
|
true
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:topology
differential geometry
|
|
gptkbp:bfsParent
|
gptkb:complex_projective_plane
gptkb:Projective_plane
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gptkbp:bfsLayer
|
8
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|
https://www.w3.org/2000/01/rdf-schema#label
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CP^2
|