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- Chow_ring abstract "In algebraic geometry, the Chow ring (named after W. L. Chow) of an algebraic variety is an algebraic-geometric analogue of the cohomology ring of the variety considered as a topological space: its elements are formed out of actual subvarieties (so-called algebraic cycles) and its multiplicative structure is derived from the intersection of subvarieties. In fact, there is a natural map from one to the other which preserves the geometric notions which are common to the two (for example, Chern classes, intersection pairing, and a form of Poincaré duality). The advantage of the Chow ring is that its geometric definition allows it to be defined without reference to non-algebraic concepts; in addition, using algebraic techniques that are not available in the purely topological case, certain constructions that exist for both rings are simpler in the Chow ring.There is also a bivariant version of the Chow theory (often referred to as the "operational Chow theory") introduced by William Fulton and Robert MacPherson.".
- Chow_ring wikiPageID "4282051".
- Chow_ring wikiPageRevisionID "606358546".
- Chow_ring hasPhotoCollection Chow_ring.
- Chow_ring subject Category:Algebraic_geometry.
- Chow_ring subject Category:Chinese_mathematical_discoveries.
- Chow_ring subject Category:Intersection_theory.
- Chow_ring subject Category:Topological_methods_of_algebraic_geometry.
- Chow_ring type Ability105616246.
- Chow_ring type Abstraction100002137.
- Chow_ring type Cognition100023271.
- Chow_ring type Know-how105616786.
- Chow_ring type Method105660268.
- Chow_ring type PsychologicalFeature100023100.
- Chow_ring type TopologicalMethodsOfAlgebraicGeometry.
- Chow_ring comment "In algebraic geometry, the Chow ring (named after W. L. Chow) of an algebraic variety is an algebraic-geometric analogue of the cohomology ring of the variety considered as a topological space: its elements are formed out of actual subvarieties (so-called algebraic cycles) and its multiplicative structure is derived from the intersection of subvarieties.".
- Chow_ring label "Chow ring".
- Chow_ring label "Chow-Gruppe".
- Chow_ring label "周環".
- Chow_ring sameAs Chow-Gruppe.
- Chow_ring sameAs m.0btzfs.
- Chow_ring sameAs Q5105523.
- Chow_ring sameAs Q5105523.
- Chow_ring sameAs Chow_ring.
- Chow_ring wasDerivedFrom Chow_ring?oldid=606358546.
- Chow_ring isPrimaryTopicOf Chow_ring.