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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 Hilbert scheme ： ウィキペディア英語版 Hilbert scheme In algebraic geometry, a branch of mathematics, a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general projective scheme), refining the Chow variety. The Hilbert scheme is a disjoint union of projective subschemes corresponding to Hilbert polynomials. The basic theory of Hilbert schemes was developed by . Hironaka's example shows that non-projective varieties need not have Hilbert schemes. ==Hilbert scheme of projective space== The Hilbert scheme of classifies closed subschemes of projective space in the following sense: For any locally Noetherian scheme , the set of -valued points : of the Hilbert scheme is naturally isomorphic to the set of closed subschemes of that are flat over . The closed subschemes of that are flat over can informally be thought of as the families of subschemes of projective space parameterized by . The Hilbert scheme breaks up as a disjoint union of pieces corresponding to the Hilbert polynomial of the subschemes of projective space with Hilbert polynomial . Each of these pieces is projective over . 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「Hilbert 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.