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Complex projective plane

In mathematics, the complex projective plane, usually denoted ⁠ P 2 ( C ) {\displaystyle \mathbb {P} ^{2}(\mathbb {C} )} ⁠ or ⁠ C P 2 , {\displaystyle \mathbb {CP} ^{2},} ⁠ is the two-dimensional complex projective space. It is a complex manifold of complex dimension 2, described by three complex coordinates

Algebraic geometry, Differential geometry & Topology

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Topology

Algebraic geometry

Differential geometry

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Complex projective plane

Nodes22
Edges21
Triples20
Avg. degree1.91
Density0.090909
Components1

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Complex projective plane

Top relations

related to Differential geometry · 10
Complex projective plane → An, As, Fubini-Study, Gaussian, Ricci, Riemann, Riemannian, That, The, With
related to Algebraic geometry · 5
Complex projective plane → As, Cremona, In, It, The
related to Topology · 3
Complex projective plane → Riemann, The, The Betti
is a · 2
Complex projective plane → 4-dimensional manifold whose sectional curvature is quarter-pinched, Cremona group

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Important terminology

projective plane complex geometry curvature displaystyle mathbb line surface manifold dimension algebraic mathematics riemann sphere homotopy groups group birational rational

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Complex projective planeis aCremona group0.90text
Complex projective planeis a4-dimensional manifold whose sectional curvature is quarter-pinched0.90text
Complex projective planerelated to Algebraic geometryIn0.60section
Complex projective planerelated to Algebraic geometryIt0.60section
Complex projective planerelated to Algebraic geometryAs0.60section
Complex projective planerelated to Algebraic geometryThe0.60section
Complex projective planerelated to Algebraic geometryCremona0.60section
Complex projective planerelated to Differential geometryAs0.60section
Complex projective planerelated to Differential geometryRiemannian0.60section
Complex projective planerelated to Differential geometryThat0.60section
Complex projective planerelated to Differential geometryThe0.60section
Complex projective planerelated to Differential geometryWith0.60section

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