Matches in DBpedia 2015-10 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). 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 "25275".
- Divisor_(algebraic_geometry) wikiPageOutDegree "76".
- Divisor_(algebraic_geometry) wikiPageRevisionID "676638100".
- Divisor_(algebraic_geometry) wikiPageWikiLink 1-form.
- Divisor_(algebraic_geometry) wikiPageWikiLink 1-forms.
- 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_varieties.
- Divisor_(algebraic_geometry) wikiPageWikiLink Algebraic_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ample_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ample_line_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink André_Weil.
- Divisor_(algebraic_geometry) wikiPageWikiLink Arakelov_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Canonical_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Canonical_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Category:Geometry_of_divisors.
- Divisor_(algebraic_geometry) wikiPageWikiLink Chow_group.
- 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 Divisor_class_group.
- Divisor_(algebraic_geometry) wikiPageWikiLink Divisorial_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Euclidean_space.
- Divisor_(algebraic_geometry) wikiPageWikiLink Excision_exact_sequence.
- Divisor_(algebraic_geometry) wikiPageWikiLink Fiber_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Fine_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Formal_sum.
- 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_M._Weber.
- 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_equivalence.
- Divisor_(algebraic_geometry) wikiPageWikiLink Linear_system_of_divisors.
- Divisor_(algebraic_geometry) wikiPageWikiLink Linear_systems_of_divisors.
- Divisor_(algebraic_geometry) wikiPageWikiLink Linearly_equivalent.
- Divisor_(algebraic_geometry) wikiPageWikiLink Mathematical_singularity.
- 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 Multiplier_ideal_(algebraic_geometry).
- Divisor_(algebraic_geometry) wikiPageWikiLink Nef_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Nef_line_bundle.
- Divisor_(algebraic_geometry) wikiPageWikiLink Non-singular.
- Divisor_(algebraic_geometry) wikiPageWikiLink One-form.
- Divisor_(algebraic_geometry) wikiPageWikiLink Open_cover.
- 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 Proper_scheme.
- Divisor_(algebraic_geometry) wikiPageWikiLink Quadric.
- Divisor_(algebraic_geometry) wikiPageWikiLink Quadric_cone.
- Divisor_(algebraic_geometry) wikiPageWikiLink Rational_function.
- Divisor_(algebraic_geometry) wikiPageWikiLink Reflexive_sheaf.
- Divisor_(algebraic_geometry) wikiPageWikiLink Regular_function.
- Divisor_(algebraic_geometry) wikiPageWikiLink Richard_Dedekind.
- Divisor_(algebraic_geometry) wikiPageWikiLink Riemann-Roch_theorem_for_algebraic_curves.
- Divisor_(algebraic_geometry) wikiPageWikiLink Riemann–Roch_theorem.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ringed_space.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ruled_surface.
- Divisor_(algebraic_geometry) wikiPageWikiLink Ruling_of_a_cone.
- 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 Smooth_variety.
- Divisor_(algebraic_geometry) wikiPageWikiLink Tensor_product.
- Divisor_(algebraic_geometry) wikiPageWikiLink Theta-divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Theta_divisor.
- Divisor_(algebraic_geometry) wikiPageWikiLink Topological_manifold.
- Divisor_(algebraic_geometry) wikiPageWikiLink Total_quotient_ring.
- Divisor_(algebraic_geometry) wikiPageWikiLink Total_ring_of_fractions.
- Divisor_(algebraic_geometry) wikiPageWikiLink Trivialization_(mathematics).
- 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_(algebraic_geometry) wikiPageWikiLinkText "Divisor_(algebraic_geometry)#Definition".
- Divisor_(algebraic_geometry) wikiPageWikiLinkText "Relative Cartier divisors".