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- Normal_scheme abstract "In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety X (understood to be irreducible) is normal if and only if the ring O(X) of regular functions on X is an integrally closed domain. A variety X over a field is normal if and only if every finite birational morphism from any variety Y to X is an isomorphism.Normal varieties were introduced by Zariski (1939, section III).".
- Normal_scheme thumbnail Singularptfn.JPG?width=300.
- Normal_scheme wikiPageID "2629423".
- Normal_scheme wikiPageLength "5736".
- Normal_scheme wikiPageOutDegree "30".
- Normal_scheme wikiPageRevisionID "683689673".
- Normal_scheme wikiPageWikiLink Affine_variety.
- Normal_scheme wikiPageWikiLink Algebraic_curve.
- Normal_scheme wikiPageWikiLink Algebraic_geometry.
- Normal_scheme wikiPageWikiLink Algebraic_varieties.
- Normal_scheme wikiPageWikiLink Algebraic_variety.
- Normal_scheme wikiPageWikiLink Birational_geometry.
- Normal_scheme wikiPageWikiLink Category:Algebraic_geometry.
- Normal_scheme wikiPageWikiLink Category:Scheme_theory.
- Normal_scheme wikiPageWikiLink Field_of_fractions.
- Normal_scheme wikiPageWikiLink File:Singularptfn.JPG.
- Normal_scheme wikiPageWikiLink Finite_morphism.
- Normal_scheme wikiPageWikiLink Glossary_of_algebraic_geometry.
- Normal_scheme wikiPageWikiLink Glossary_of_scheme_theory.
- Normal_scheme wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Normal_scheme wikiPageWikiLink Homogeneous_coordinate_ring.
- Normal_scheme wikiPageWikiLink Integral_closure.
- Normal_scheme wikiPageWikiLink Integral_domain.
- Normal_scheme wikiPageWikiLink Integral_element.
- Normal_scheme wikiPageWikiLink Integrally_closed_domain.
- Normal_scheme wikiPageWikiLink Linearly_normal.
- Normal_scheme wikiPageWikiLink Local_ring.
- Normal_scheme wikiPageWikiLink Morphism_of_algebraic_varieties.
- Normal_scheme wikiPageWikiLink Proper_morphism.
- Normal_scheme wikiPageWikiLink Rational_normal_curve.
- Normal_scheme wikiPageWikiLink Rational_normal_scroll.
- Normal_scheme wikiPageWikiLink Reduced_scheme.
- Normal_scheme wikiPageWikiLink Regular_function.
- Normal_scheme wikiPageWikiLink Resolution_of_singularities.
- Normal_scheme wikiPageWikiLink Scheme_(mathematics).
- Normal_scheme wikiPageWikiLink Springer-Verlag.
- Normal_scheme wikiPageWikiLink Springer_Science+Business_Media.
- Normal_scheme wikiPageWikiLink Topologically_stratified_space.
- Normal_scheme wikiPageWikiLinkText "Normal scheme".
- Normal_scheme wikiPageWikiLinkText "non-normal".
- Normal_scheme wikiPageWikiLinkText "normal scheme".
- Normal_scheme wikiPageWikiLinkText "normal".
- Normal_scheme wikiPageWikiLinkText "normalization".
- Normal_scheme authorlink "Oscar Zariski".
- Normal_scheme hasPhotoCollection Normal_scheme.
- Normal_scheme last "Zariski".
- Normal_scheme loc "section III".
- Normal_scheme wikiPageUsesTemplate Template:Citation.
- Normal_scheme wikiPageUsesTemplate Template:Hartshorne_AG.
- Normal_scheme wikiPageUsesTemplate Template:Harvs.
- Normal_scheme wikiPageUsesTemplate Template:Harvtxt.
- Normal_scheme wikiPageUsesTemplate Template:Reflist.
- Normal_scheme year "1939".
- Normal_scheme subject Category:Algebraic_geometry.
- Normal_scheme subject Category:Scheme_theory.
- Normal_scheme comment "In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety X (understood to be irreducible) is normal if and only if the ring O(X) of regular functions on X is an integrally closed domain.".
- Normal_scheme label "Normal scheme".
- Normal_scheme sameAs m.07sx1k.
- Normal_scheme sameAs Q7051829.
- Normal_scheme sameAs Q7051829.
- Normal_scheme wasDerivedFrom Normal_scheme?oldid=683689673.
- Normal_scheme depiction Singularptfn.JPG.
- Normal_scheme isPrimaryTopicOf Normal_scheme.