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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 Koras–Russell cubic threefold ： ウィキペディア英語版 Koras–Russell cubic threefold In algebraic geometry, the Koras–Russell cubic threefolds are smooth affine contractible threefolds studied by that have a hyperbolic action of a one-dimensional torus with a unique fixed point, such that the quotients of the threefold and the tangent space of the fixed point by this action are isomorphic. Much earlier than the above referred paper, Russell noticed that the hypersurface $x+x^2y+z^2+t^3=0$ has properties very similar to the affine 3-space like contractibility and was interested in distinguishing it from the affine 3-space as algebraic varieties, necessary for linearizing $\backslash mathbf^$ * actions on $\backslash mathbf^3$. This led Makar-Limanov to the discovery of an invariant, later called the ML-invariant of an affine variety. The ML-invariant was successfully used to distinguish the Russell cubic from the affine 3-space among its many other successes. In the paper above, Koras and Russell look at a large family of smooth contractible hypersurfaces which contains the Russell cubic as a special case. ==References== * 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「Koras–Russell cubic threefold」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.