Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Divisor_(algebraic_geometry)> ?p ?o }
- Divisor_(algebraic_geometry) abstract "In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil by David Mumford). Both are ultimately derived from the notion of divisibility in the integers and algebraic number fields.Cartier divisors and Weil divisors are parallel notions. Weil divisors are codimension one objects, while Cartier divisors are locally described by a single equation. On non-singular varieties, these two are identical, but when the variety has singular points, the two can differ. An example of a surface on which the two concepts differ is a cone, i.e. a singular quadric. At the (unique) singular point, the vertex of the cone, a single line drawn on the cone is a Weil divisor, but is not a Cartier divisor (since it is not locally principal).The divisor appellation is part of the history of the subject, going back to the Dedekind–Weber work which in effect showed the relevance of Dedekind domains to the case of algebraic curves. In that case the free abelian group on the points of the curve is closely related to the fractional ideal theory.An algebraic cycle is a higher-dimensional generalization of a divisor; by definition, a Weil divisor is a cycle of codimension one.".
- Divisor_(algebraic_geometry) wikiPageExternalLink example-of-a-variety-with-k-x-mathbb-q-cartier-but-not-cartier.
- Divisor_(algebraic_geometry) wikiPageID "1693055".
- Divisor_(algebraic_geometry) wikiPageLength "25356".
- Divisor_(algebraic_geometry) wikiPageOutDegree "76".
- Divisor_(algebraic_geometry) wikiPageRevisionID "705545557".
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_curve.
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_cycle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_geometry.
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_number_field.
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ample_line_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink André_Weil.
- Divisor_(algebraic_geometry) wikiPageWikiLink Canonical_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Category:Geometry_of_divisors.
- Divisor_(algebraic_geometry) wikiPageWikiLink Chow_ring.
- Divisor_(algebraic_geometry) wikiPageWikiLink Codimension.
- Divisor_(algebraic_geometry) wikiPageWikiLink Complete_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Cover_(topology).
- Divisor_(algebraic_geometry) wikiPageWikiLink Dedekind_domain.
- Divisor_(algebraic_geometry) wikiPageWikiLink Divisor_(algebraic_geometry).
- Divisor_(algebraic_geometry) wikiPageWikiLink Euclidean_space.
- Divisor_(algebraic_geometry) wikiPageWikiLink Excision_exact_sequence.
- Divisor_(algebraic_geometry) wikiPageWikiLink Fiber_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Fractional_ideal.
- Divisor_(algebraic_geometry) wikiPageWikiLink Free_abelian_group.
- Divisor_(algebraic_geometry) wikiPageWikiLink Function_field_(scheme_theory).
- Divisor_(algebraic_geometry) wikiPageWikiLink Fundamental_cycle_(algebraic_geometry).
- Divisor_(algebraic_geometry) wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Divisor_(algebraic_geometry) wikiPageWikiLink Heinrich_Martin_Weber.
- Divisor_(algebraic_geometry) wikiPageWikiLink Higher_Chow_group.
- Divisor_(algebraic_geometry) wikiPageWikiLink Injective_function.
- Divisor_(algebraic_geometry) wikiPageWikiLink Injective_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Integer.
- Divisor_(algebraic_geometry) wikiPageWikiLink Invertible_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Line_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Linear_combination.
- Divisor_(algebraic_geometry) wikiPageWikiLink Linear_system_of_divisors.
- Divisor_(algebraic_geometry) wikiPageWikiLink Meromorphic_function.
- Divisor_(algebraic_geometry) wikiPageWikiLink Morphism_of_algebraic_varieties.
- Divisor_(algebraic_geometry) wikiPageWikiLink Morphism_of_finite_presentation.
- Divisor_(algebraic_geometry) wikiPageWikiLink Multiplier_ideal.
- Divisor_(algebraic_geometry) wikiPageWikiLink Nef_line_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink One-form.
- Divisor_(algebraic_geometry) wikiPageWikiLink Picard_group.
- Divisor_(algebraic_geometry) wikiPageWikiLink Pierre_Cartier_(mathematician).
- Divisor_(algebraic_geometry) wikiPageWikiLink Princeton_University_Press.
- Divisor_(algebraic_geometry) wikiPageWikiLink Projective_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Proper_morphism.
- Divisor_(algebraic_geometry) wikiPageWikiLink Quadric.
- Divisor_(algebraic_geometry) wikiPageWikiLink Rational_function.
- Divisor_(algebraic_geometry) wikiPageWikiLink Reflexive_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Richard_Dedekind.
- Divisor_(algebraic_geometry) wikiPageWikiLink Riemann–Roch_theorem.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ringed_space.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ruled_surface.
- Divisor_(algebraic_geometry) wikiPageWikiLink Singular_point_of_an_algebraic_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Singularity_(mathematics).
- Divisor_(algebraic_geometry) wikiPageWikiLink Smooth_morphism.
- Divisor_(algebraic_geometry) wikiPageWikiLink Smooth_scheme.
- Divisor_(algebraic_geometry) wikiPageWikiLink Tensor_product.
- Divisor_(algebraic_geometry) wikiPageWikiLink Theta_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Topological_manifold.
- Divisor_(algebraic_geometry) wikiPageWikiLink Total_ring_of_fractions.
- Divisor_(algebraic_geometry) wikiPageWikiLink Unique_factorization_domain.
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Algebraic divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Divisor (algebraic geometry)".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Divisor (algebraic geometry)#Cartier divisor".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Divisor (algebraic geometry)#Divisor class group".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Divisor_(algebraic_geometry)".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Divisor_(algebraic_geometry)#Definition".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Relative Cartier divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Weil divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor (algebraic geometry)".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor (algebraic geometry)#Cartier divisor".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor (algebraic geometry)#Relative Cartier divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor (algebraic geometry)#Weil divisor".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor group".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisor".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "effective divisors".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "effective".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "linear equivalence".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "reduced Cartier divisor".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "theory of divisors".
- Divisor_(algebraic_geometry) wikiPageUsesTemplate Template:Citation.
- Divisor_(algebraic_geometry) wikiPageUsesTemplate Template:Cite_book.
- Divisor_(algebraic_geometry) subject Category:Geometry_of_divisors.
- Divisor_(algebraic_geometry) hypernym Generalization.
- Divisor_(algebraic_geometry) type Variety.
- Divisor_(algebraic_geometry) comment "In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil by David Mumford). Both are ultimately derived from the notion of divisibility in the integers and algebraic number fields.Cartier divisors and Weil divisors are parallel notions.".
- Divisor_(algebraic_geometry) label "Divisor (algebraic geometry)".
- Divisor_(algebraic_geometry) sameAs Q909669.
- Divisor_(algebraic_geometry) sameAs Divisor.
- Divisor_(algebraic_geometry) sameAs Diviseur_(géométrie_algébrique).
- Divisor_(algebraic_geometry) sameAs 因子_(代数幾何学).
- Divisor_(algebraic_geometry) sameAs 인자_(대수기하학).
- Divisor_(algebraic_geometry) sameAs Dywizor.
- Divisor_(algebraic_geometry) sameAs m.05nwcf.
- Divisor_(algebraic_geometry) sameAs m.060xc4.