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- Canonical_ring abstract "In mathematics, the pluricanonical ring of an algebraic variety V (which is non-singular), or of a complex manifold, is the graded ring of sections of powers of the canonical bundle K. Its nth graded component (for ) is:that is, the space of sections of the n-th tensor product Kn of the canonical bundle K.The 0th graded component is sections of the trivial bundle, and is one-dimensional as V is projective. The projective variety defined by this graded ring is called the canonical model of V, and the dimension of the canonical model, is called the Kodaira dimension of V. One can define an analogous ring for any line bundle L over V; the analogous dimension is called the Iitaka dimension. A line bundle is called big if the Iitaka dimension equals the dimension of the variety.".
- Canonical_ring wikiPageID "1866872".
- Canonical_ring wikiPageRevisionID "596284547".
- Canonical_ring first "Caucher".
- Canonical_ring first "Christopher D.".
- Canonical_ring first "James".
- Canonical_ring first "Paolo".
- Canonical_ring hasPhotoCollection Canonical_ring.
- Canonical_ring last "Birkar".
- Canonical_ring last "Cascini".
- Canonical_ring last "Hacon".
- Canonical_ring last "McKernan".
- Canonical_ring year "2010".
- Canonical_ring subject Category:Algebraic_geometry.
- Canonical_ring subject Category:Birational_geometry.
- Canonical_ring subject Category:Structures_on_manifolds.
- Canonical_ring type Artifact100021939.
- Canonical_ring type ComplexManifolds.
- Canonical_ring type Conduit103089014.
- Canonical_ring type Manifold103717750.
- Canonical_ring type Object100002684.
- Canonical_ring type Passage103895293.
- Canonical_ring type PhysicalEntity100001930.
- Canonical_ring type Pipe103944672.
- Canonical_ring type Structure104341686.
- Canonical_ring type StructuresOnManifolds.
- Canonical_ring type Tube104493505.
- Canonical_ring type Way104564698.
- Canonical_ring type Whole100003553.
- Canonical_ring type YagoGeoEntity.
- Canonical_ring type YagoPermanentlyLocatedEntity.
- Canonical_ring comment "In mathematics, the pluricanonical ring of an algebraic variety V (which is non-singular), or of a complex manifold, is the graded ring of sections of powers of the canonical bundle K. Its nth graded component (for ) is:that is, the space of sections of the n-th tensor product Kn of the canonical bundle K.The 0th graded component is sections of the trivial bundle, and is one-dimensional as V is projective.".
- Canonical_ring label "Canonical ring".
- Canonical_ring label "Kanonieke ring".
- Canonical_ring label "標準環".
- Canonical_ring sameAs 標準環.
- Canonical_ring sameAs 표준환.
- Canonical_ring sameAs Kanonieke_ring.
- Canonical_ring sameAs m.0629d4.
- Canonical_ring sameAs Q2251151.
- Canonical_ring sameAs Q2251151.
- Canonical_ring sameAs Canonical_ring.
- Canonical_ring wasDerivedFrom Canonical_ring?oldid=596284547.
- Canonical_ring isPrimaryTopicOf Canonical_ring.