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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:automorphismGroup
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gptkb:projective_linear_group_PGL(N+1,_K)
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gptkbp:compactification_of
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gptkb:affine_space_A^N
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gptkbp:consistsOf
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lines through the origin in K^{N+1}
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gptkbp:definedIn
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gptkb:field_K
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gptkbp:dimensions
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N
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gptkbp:example
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gptkb:projective_line_P^1
gptkb:projective_plane_P^2
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gptkbp:field
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gptkb:algebraic_geometry
gptkb:geometry
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gptkbp:generalizes
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gptkb:projective_plane
gptkb:projective_line
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gptkbp:homogeneous_coordinates
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[x_0 : x_1 : ... : x_N]
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gptkbp:notation
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P^N(K)
P^N
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gptkbp:relatedConcept
|
gptkb:Euclidean_space
gptkb:projective_variety
gptkb:Grassmannian
flag variety
projective bundle
projective transformation
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gptkbp:topology
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gptkb:Zariski_topology
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gptkbp:used_in
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gptkb:geometry
gptkb:Plücker_embedding
gptkb:Segre_embedding
gptkb:Veronese_embedding
computer vision
birational geometry
classical geometry
intersection theory
linear systems
complex geometry
classification of algebraic varieties
enumerative geometry
moduli theory
homogeneous coordinates
study of perspective
projective embeddings
perspective drawing
projective coordinates
real projective geometry
rational maps
embedding of varieties
projective dimension theorem
projective duality
projective morphisms
projective subspaces
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gptkbp:bfsParent
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gptkb:Veronese_embedding
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gptkbp:bfsLayer
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7
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https://www.w3.org/2000/01/rdf-schema#label
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projective space P^N
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