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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Equidimensional scheme ： ウィキペディア英語版 Equidimensional scheme 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. == See also == *Glossary of scheme theory 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Equidimensional scheme」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.