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Complex projective space

In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real projective space label the lines through the origin of a real Euclidean space, the points of a complex projective space label the complex lines through the origin of a complex Euclidean space (see below…

Topology, Algebraic geometry & Construction

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Introduction

Construction

Topology

Differential geometry

Algebraic geometry

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Map overview Semantic statistics

Complex projective space

Nodes125
Edges124
Triples69
Avg. degree1.98
Density0.016
Components1

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Complex projective space

Top relations

related to Algebraic geometry · 12
Complex projective space → Chow's, Complex, CPn, Fubini, Grassmannian, Griffiths, Harris, It, Kähler, Lie, See, Study
related to CW-decomposition · 11
Complex projective space → CP, CW-complexes, Freudenthal, Hopf, One, Otherwise, Postnikov, Recall, Serre, The, We
related to Geodesics · 11
Complex projective space → Besse, CP1, CPn, Fubini, In, Riemannian, See, Study, The, This, Through
related to Zariski topology · 11
Complex projective space → CPn, Declaring, Define, Hartshorne, II, In, Let, This, Z0, Zariski, Zn
related to Line bundles · 8
Complex projective space → All, Cn, CPn, Finally, If, More, This, Zariski
related to Sectional curvature pinching · 8
Complex projective space → Brendle, Cayley, Complex, Conversely, F4/Spin, It, Riemannian, Schoen
is a · 4
Complex projective space → home of projective varieties, projective space with respect to the field of complex numbers, space of complex lines through the origin of an, space of directions through the origin of Cn
see also · 2
Complex projective space → Gromov's, Hilbert
related to Construction · 1
Complex projective space → Complex
related to Point-set topology · 1
Complex projective space → Complex

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Important terminology

space projective complex cpn line geometry topology see displaystyle cn cp bundle real mathbf hyperplane algebraic spaces origin 2n sphere

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Complex projective spaceis aprojective space with respect to the field of complex numbers0.90text
Complex projective spaceis aspace of complex lines through the origin of an0.90text
Complex projective spaceis ahome of projective varieties0.90text
Complex projective spaceis aspace of directions through the origin of Cn0.90text
Complex projective spacerelated to Algebraic geometryComplex0.60section
Complex projective spacerelated to Algebraic geometryGrassmannian0.60section
Complex projective spacerelated to Algebraic geometryLie0.60section
Complex projective spacerelated to Algebraic geometryIt0.60section
Complex projective spacerelated to Algebraic geometryKähler0.60section
Complex projective spacerelated to Algebraic geometryFubini0.60section
Complex projective spacerelated to Algebraic geometryStudy0.60section
Complex projective spacerelated to Algebraic geometryChow's0.60section

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