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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 wikiPageLength "16050".
- Chow_ring wikiPageOutDegree "38".
- Chow_ring wikiPageRevisionID "680469832".
- Chow_ring wikiPageWikiLink Algebraic_K-theory.
- Chow_ring wikiPageWikiLink Algebraic_cycle.
- Chow_ring wikiPageWikiLink Algebraic_cycles.
- Chow_ring wikiPageWikiLink Algebraic_geometry.
- Chow_ring wikiPageWikiLink Algebraic_variety.
- Chow_ring wikiPageWikiLink Annals_of_Mathematics.
- Chow_ring wikiPageWikiLink Arakelov_theory.
- Chow_ring wikiPageWikiLink Arithmetic_Chow_group.
- Chow_ring wikiPageWikiLink Bxc3xa9zouts_theorem.
- Chow_ring wikiPageWikiLink Category:Algebraic_geometry.
- Chow_ring wikiPageWikiLink Category:Chinese_mathematical_discoveries.
- Chow_ring wikiPageWikiLink Category:Intersection_theory.
- Chow_ring wikiPageWikiLink Category:Topological_methods_of_algebraic_geometry.
- Chow_ring wikiPageWikiLink Chern_class.
- Chow_ring wikiPageWikiLink Chern_classes.
- Chow_ring wikiPageWikiLink Cobordism.
- Chow_ring wikiPageWikiLink Cohomology_ring.
- Chow_ring wikiPageWikiLink Enumerative_geometry.
- Chow_ring wikiPageWikiLink Equivalence_relation.
- Chow_ring wikiPageWikiLink Flat_morphism.
- Chow_ring wikiPageWikiLink Formal_sum.
- Chow_ring wikiPageWikiLink Free_abelian_group.
- Chow_ring wikiPageWikiLink Graded_ring.
- Chow_ring wikiPageWikiLink Higher_Chow_group.
- Chow_ring wikiPageWikiLink Hilbert_polynomial.
- Chow_ring wikiPageWikiLink Hilbert_series_and_Hilbert_polynomial.
- Chow_ring wikiPageWikiLink Intersection_product.
- Chow_ring wikiPageWikiLink Intersection_theory.
- Chow_ring wikiPageWikiLink Künneth_formula.
- Chow_ring wikiPageWikiLink Künneth_theorem.
- Chow_ring wikiPageWikiLink Leray–Hirsch_theorem.
- Chow_ring wikiPageWikiLink Poincaré_duality.
- Chow_ring wikiPageWikiLink Projection_formula.
- Chow_ring wikiPageWikiLink Projective_bundle.
- Chow_ring wikiPageWikiLink Projective_space_bundle.
- Chow_ring wikiPageWikiLink Robert_MacPherson_(mathematician).
- Chow_ring wikiPageWikiLink Scheme_(mathematics).
- Chow_ring wikiPageWikiLink Sheaf_(mathematics).
- Chow_ring wikiPageWikiLink Spectral_sequence.
- Chow_ring wikiPageWikiLink Springer-Verlag.
- Chow_ring wikiPageWikiLink Springer_Science+Business_Media.
- Chow_ring wikiPageWikiLink Transversality_(mathematics).
- Chow_ring wikiPageWikiLink W._L._Chow.
- Chow_ring wikiPageWikiLink Wei-Liang_Chow.
- Chow_ring wikiPageWikiLink William_Fulton_(mathematician).
- Chow_ring wikiPageWikiLink Zariski_tangent_space.
- Chow_ring wikiPageWikiLinkText "Chow cycles".
- Chow_ring wikiPageWikiLinkText "Chow group".
- Chow_ring wikiPageWikiLinkText "Chow ring".
- Chow_ring wikiPageWikiLinkText "Chow variety".
- Chow_ring wikiPageWikiLinkText "rational equivalence".
- Chow_ring hasPhotoCollection Chow_ring.
- Chow_ring wikiPageUsesTemplate Template:Citation.
- Chow_ring wikiPageUsesTemplate Template:See.
- Chow_ring wikiPageUsesTemplate Template:Technical.
- 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 hypernym Analogue.
- Chow_ring type Article.
- Chow_ring type Drug.
- Chow_ring type Article.
- Chow_ring type Method.
- 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 sameAs Chow-Gruppe.
- Chow_ring sameAs 저우_환.
- Chow_ring sameAs m.0btzfs.
- Chow_ring sameAs Q5105523.
- Chow_ring sameAs Q5105523.
- Chow_ring sameAs 周環.
- Chow_ring wasDerivedFrom Chow_ring?oldid=680469832.
- Chow_ring isPrimaryTopicOf Chow_ring.