Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Complex_dimension> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- Complex_dimension abstract "In mathematics, complex dimension usually refers to the dimension of a complex manifold M, or a complex algebraic variety V. If the complex dimension is d, the real dimension will be 2d. That is, the smooth manifold M has dimension 2d; and away from any singular points V will also be a smooth manifold of dimension 2d. However, for a real algebraic variety (that is a variety defined by equations with real coefficients), its dimension refers commonly to its complex dimension, and its real dimension refers to the maximum of the dimensions of the manifolds contained in the set of its real points. The real dimension is not greater than the dimension, but may be smaller. For example, the equation is a variety of (complex) dimension 2 (a surface), but of real dimension 0 — it has only one real point, (0, 0, 0).The same points apply to codimension. For example a smooth complex hypersurface in complex projective space of dimension n will be a manifold of dimension 2(n − 1). A complex hyperplane does not separate a complex projective space into two components, because it has real codimension 2.".
- Complex_dimension wikiPageID "2783513".
- Complex_dimension wikiPageRevisionID "592800628".
- Complex_dimension hasPhotoCollection Complex_dimension.
- Complex_dimension subject Category:Algebraic_geometry.
- Complex_dimension subject Category:Complex_manifolds.
- Complex_dimension subject Category:Dimension.
- Complex_dimension type Artifact100021939.
- Complex_dimension type ComplexManifolds.
- Complex_dimension type Conduit103089014.
- Complex_dimension type Manifold103717750.
- Complex_dimension type Object100002684.
- Complex_dimension type Passage103895293.
- Complex_dimension type PhysicalEntity100001930.
- Complex_dimension type Pipe103944672.
- Complex_dimension type Tube104493505.
- Complex_dimension type Way104564698.
- Complex_dimension type Whole100003553.
- Complex_dimension type YagoGeoEntity.
- Complex_dimension type YagoPermanentlyLocatedEntity.
- Complex_dimension comment "In mathematics, complex dimension usually refers to the dimension of a complex manifold M, or a complex algebraic variety V. If the complex dimension is d, the real dimension will be 2d. That is, the smooth manifold M has dimension 2d; and away from any singular points V will also be a smooth manifold of dimension 2d.".
- Complex_dimension label "Complex dimension".
- Complex_dimension sameAs m.082g6x.
- Complex_dimension sameAs Q5156577.
- Complex_dimension sameAs Q5156577.
- Complex_dimension sameAs Complex_dimension.
- Complex_dimension wasDerivedFrom Complex_dimension?oldid=592800628.
- Complex_dimension isPrimaryTopicOf Complex_dimension.