Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Branched_covering> ?p ?o. }
Showing items 1 to 29 of
29
with 100 items per page.
- Branched_covering abstract "In mathematics, branched covering is a term mainly used in algebraic geometry, to describe morphisms f from an algebraic variety V to another one W, the two dimensions being the same, and the typical fibre of f being of dimension 0.In that case, there will be an open set W′ of W (for the Zariski topology) that is dense in W, such that the restriction of f to W′ (from V′ = f−1(W′) to W′, that is) is unramified. Depending on the context, we can take this as local homeomorphism for the strong topology, over the complex numbers, or as an étale morphism in general (under some slightly stronger hypotheses, on flatness and separability). Generically, then, such a morphism resembles a covering space in the topological sense. For example if V and W are both Riemann surfaces, we require only that f is holomorphic and not constant, and then there is a finite set of points P of W, outside of which we do find an honest coveringV′ → W′.The set of exceptional points on W is called the ramification locus (i.e. this is the complement of the largest possible open set W′); see ramification. In general monodromy occurs according to the fundamental group of W′ acting on the sheets of the covering (this topological picture can be made precise also in the case of a general base field).Branched coverings are easily constructed as Kummer extensions, i.e. as algebraic extension of the function field. The hyperelliptic curves are prototypic examples.An unramified covering then is the occurrence of an empty ramification locus.".
- Branched_covering wikiPageID "3002253".
- Branched_covering wikiPageRevisionID "593730252".
- Branched_covering hasPhotoCollection Branched_covering.
- Branched_covering subject Category:Algebraic_varieties.
- Branched_covering subject Category:Complex_manifolds.
- Branched_covering type Artifact100021939.
- Branched_covering type ComplexManifolds.
- Branched_covering type Conduit103089014.
- Branched_covering type Manifold103717750.
- Branched_covering type Object100002684.
- Branched_covering type Passage103895293.
- Branched_covering type PhysicalEntity100001930.
- Branched_covering type Pipe103944672.
- Branched_covering type Tube104493505.
- Branched_covering type Way104564698.
- Branched_covering type Whole100003553.
- Branched_covering type YagoGeoEntity.
- Branched_covering type YagoPermanentlyLocatedEntity.
- Branched_covering comment "In mathematics, branched covering is a term mainly used in algebraic geometry, to describe morphisms f from an algebraic variety V to another one W, the two dimensions being the same, and the typical fibre of f being of dimension 0.In that case, there will be an open set W′ of W (for the Zariski topology) that is dense in W, such that the restriction of f to W′ (from V′ = f−1(W′) to W′, that is) is unramified.".
- Branched_covering label "Branched covering".
- Branched_covering label "分岐被覆".
- Branched_covering sameAs 分岐被覆.
- Branched_covering sameAs m.08jwcy.
- Branched_covering sameAs Q4956410.
- Branched_covering sameAs Q4956410.
- Branched_covering sameAs Branched_covering.
- Branched_covering wasDerivedFrom Branched_covering?oldid=593730252.
- Branched_covering isPrimaryTopicOf Branched_covering.