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- Algebraic_manifold abstract "In mathematics, an algebraic manifold is an algebraic variety which is also a manifold. As such, algebraic manifolds are a generalisation of the concept of smooth curves and surfaces defined by polynomials. An example is the sphere, which can be defined as the zero set of the polynomial x2 + y2 + z2 – 1, and hence is an algebraic variety. For an algebraic manifold, the ground field will be the real numbers or complex numbers; in the case of the real numbers, the manifold of real points is sometimes called a Nash manifold.Every sufficiently small local patch of an algebraic manifold is isomorphic to km where k is the ground field. Equivalently the variety is smooth (free from singular points). The Riemann sphere is one example of a complex algebraic manifold, since it is the complex projective line.".
- Algebraic_manifold wikiPageExternalLink AlgebraicManifold.html.
- Algebraic_manifold wikiPageExternalLink KAlgebraicManifold.html.
- Algebraic_manifold wikiPageExternalLink lec-23.ps.gz.
- Algebraic_manifold wikiPageID "4499397".
- Algebraic_manifold wikiPageRevisionID "581840150".
- Algebraic_manifold hasPhotoCollection Algebraic_manifold.
- Algebraic_manifold subject Category:Algebraic_varieties.
- Algebraic_manifold subject Category:Manifolds.
- Algebraic_manifold type Artifact100021939.
- Algebraic_manifold type Conduit103089014.
- Algebraic_manifold type Manifold103717750.
- Algebraic_manifold type Manifolds.
- Algebraic_manifold type Object100002684.
- Algebraic_manifold type Passage103895293.
- Algebraic_manifold type PhysicalEntity100001930.
- Algebraic_manifold type Pipe103944672.
- Algebraic_manifold type Tube104493505.
- Algebraic_manifold type Way104564698.
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- Algebraic_manifold type YagoGeoEntity.
- Algebraic_manifold type YagoPermanentlyLocatedEntity.
- Algebraic_manifold comment "In mathematics, an algebraic manifold is an algebraic variety which is also a manifold. As such, algebraic manifolds are a generalisation of the concept of smooth curves and surfaces defined by polynomials. An example is the sphere, which can be defined as the zero set of the polynomial x2 + y2 + z2 – 1, and hence is an algebraic variety.".
- Algebraic_manifold label "Algebraic manifold".
- Algebraic_manifold sameAs m.0c5pmb.
- Algebraic_manifold sameAs Q4724008.
- Algebraic_manifold sameAs Q4724008.
- Algebraic_manifold sameAs Algebraic_manifold.
- Algebraic_manifold wasDerivedFrom Algebraic_manifold?oldid=581840150.
- Algebraic_manifold isPrimaryTopicOf Algebraic_manifold.