Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Relative_canonical_model> ?p ?o. }
Showing items 1 to 29 of
29
with 100 items per page.
- Relative_canonical_model abstract "In mathematics, the relative canonical model of a singular variety is a particular canonical variety that maps to , which simplifies the structure. The precise definition is: If is a resolution define the adjunction sequence to be the sequence of subsheaves if is invertible where is the higher adjunction ideal. Problem. Is finitely generated? If this is true then is called the relative canonical model of , or the canonical blow-up of .Some basic properties were as follows:The relative canonical model was independent of the choice of resolution. Some integer multiple of the canonical divisor of the relative canonical model was Cartier and the number of exceptional components where this agrees with the same multiple of the canonical divisor of Y is also independent of the choice of Y. When it equals the number of components of Y it was called crepant. It was not known whether relative canonical models were Cohen–Macaulay.Because the relative canonical model is independent of , most authors simplify the terminology, referring to it as the relative canonical model of rather than either the relative canonical model of or the canonical blow-up of . The class of varieties that are relative canonical models have canonical singularities. Since that time in the 1970s other mathematicians solved affirmatively the problem of whether they are Cohen–Macaulay. The minimal model program started by Shigefumi Mori proved that the sheaf in the definition always is finitely generated and therefore that relative canonical models always exist.".
- Relative_canonical_model wikiPageID "24885863".
- Relative_canonical_model wikiPageRevisionID "492228791".
- Relative_canonical_model hasPhotoCollection Relative_canonical_model.
- Relative_canonical_model subject Category:Algebraic_geometry.
- Relative_canonical_model subject Category:Birational_geometry.
- Relative_canonical_model subject Category:Complex_manifolds.
- Relative_canonical_model subject Category:Dimension.
- Relative_canonical_model type Artifact100021939.
- Relative_canonical_model type ComplexManifolds.
- Relative_canonical_model type Conduit103089014.
- Relative_canonical_model type Manifold103717750.
- Relative_canonical_model type Object100002684.
- Relative_canonical_model type Passage103895293.
- Relative_canonical_model type PhysicalEntity100001930.
- Relative_canonical_model type Pipe103944672.
- Relative_canonical_model type Tube104493505.
- Relative_canonical_model type Way104564698.
- Relative_canonical_model type Whole100003553.
- Relative_canonical_model type YagoGeoEntity.
- Relative_canonical_model type YagoPermanentlyLocatedEntity.
- Relative_canonical_model comment "In mathematics, the relative canonical model of a singular variety is a particular canonical variety that maps to , which simplifies the structure. The precise definition is: If is a resolution define the adjunction sequence to be the sequence of subsheaves if is invertible where is the higher adjunction ideal. Problem.".
- Relative_canonical_model label "Relative canonical model".
- Relative_canonical_model sameAs m.09gc75n.
- Relative_canonical_model sameAs Q7310785.
- Relative_canonical_model sameAs Q7310785.
- Relative_canonical_model sameAs Relative_canonical_model.
- Relative_canonical_model wasDerivedFrom Relative_canonical_model?oldid=492228791.
- Relative_canonical_model isPrimaryTopicOf Relative_canonical_model.