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- Equidimensional_scheme abstract "In algebraic geometry, a field of mathematics, an equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension. All irreducible schemes are equidimensional.In affine space, the union of a line and a point not on the line is not equidimensional. In general, if two closed subschemes of some scheme, neither containing the other, have unequal dimensions, then their union is not equidimensional.If a scheme is smooth (for instance, étale) over Spec k for some field k, then every connected component (which is then in fact an irreducible component), is equidimensional.".
- Equidimensional_scheme wikiPageID "25413693".
- Equidimensional_scheme wikiPageLength "1390".
- Equidimensional_scheme wikiPageOutDegree "10".
- Equidimensional_scheme wikiPageRevisionID "647297491".
- Equidimensional_scheme wikiPageWikiLink Affine_space.
- Equidimensional_scheme wikiPageWikiLink Algebraic_geometry.
- Equidimensional_scheme wikiPageWikiLink Category:Algebraic_geometry.
- Equidimensional_scheme wikiPageWikiLink Dimension_(scheme).
- Equidimensional_scheme wikiPageWikiLink Glossary_of_algebraic_geometry.
- Equidimensional_scheme wikiPageWikiLink Irreducible_component.
- Equidimensional_scheme wikiPageWikiLink Mathematics.
- Equidimensional_scheme wikiPageWikiLink Scheme_(mathematics).
- Equidimensional_scheme wikiPageWikiLink Smooth_scheme.
- Equidimensional_scheme wikiPageWikiLink Étale_morphism.
- Equidimensional_scheme wikiPageWikiLinkText "Equidimensional scheme".
- Equidimensional_scheme wikiPageWikiLinkText "equidimensional scheme".
- Equidimensional_scheme wikiPageWikiLinkText "equidimensional".
- Equidimensional_scheme wikiPageUsesTemplate Template:Geometry-stub.
- Equidimensional_scheme wikiPageUsesTemplate Template:Reflist.
- Equidimensional_scheme subject Category:Algebraic_geometry.
- Equidimensional_scheme hypernym Scheme.
- Equidimensional_scheme type Organisation.
- Equidimensional_scheme comment "In algebraic geometry, a field of mathematics, an equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension. All irreducible schemes are equidimensional.In affine space, the union of a line and a point not on the line is not equidimensional.".
- Equidimensional_scheme label "Equidimensional scheme".
- Equidimensional_scheme sameAs Q5384446.
- Equidimensional_scheme sameAs m.09k788t.
- Equidimensional_scheme sameAs Q5384446.
- Equidimensional_scheme wasDerivedFrom Equidimensional_scheme?oldid=647297491.
- Equidimensional_scheme isPrimaryTopicOf Equidimensional_scheme.