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gptkbp:instanceOf
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gptkb:geometry
gptkb:mathematical_concept
gptkb:Complex_manifold
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gptkbp:automorphismGroup
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gptkb:PGL(3,C)
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gptkbp:Betti_number_b2
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1
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gptkbp:can_be_blown_up
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at points
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gptkbp:contains
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complex algebraic curves
complex projective lines
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gptkbp:definedIn
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gptkb:Complex_numbers
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gptkbp:dimensions
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2 (complex)
4 (real)
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gptkbp:Euler_characteristic
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3
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gptkbp:first_Chern_class
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3
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gptkbp:fundamentalGroup
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trivial
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gptkbp:heldBy
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gptkb:algebraic_geometry
gptkb:surface
gptkb:homogeneous_space
gptkb:symmetric_space
gptkb:Fano_variety
gptkb:Kähler_manifold
gptkb:Del_Pezzo_surface
gptkb:projective_algebraic_variety
Hausdorff space
compact space
connected space
smooth variety
rational surface
simply connected space
example in Hodge theory
example in intersection theory
example in sheaf cohomology
example of compact complex surface
example of nontrivial topology
generalization of real projective plane
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gptkbp:Hodge_diamond
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1 0 0 1 0 1
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gptkbp:homogeneous_coordinates
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[z0:z1:z2]
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gptkbp:intersection_form
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1
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gptkbp:notation
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gptkb:CP^2
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gptkbp:Picard_group
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Z
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gptkbp:relatedTo
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gptkb:geometry
gptkb:Grassmannian
gptkb:Veronese_embedding
gptkb:twistor_space
flag variety
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gptkbp:used_in
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gptkb:algebraic_geometry
gptkb:topology
complex geometry
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gptkbp:bfsParent
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gptkb:Projective_plane
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gptkbp:bfsLayer
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8
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https://www.w3.org/2000/01/rdf-schema#label
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Complex projective plane
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