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Line complex : ウィキペディア英語版 | Line complex In algebraic geometry, a line complex is a 3-fold given by the intersection of the Grassmannian ''G''(2, 4) (embedded in projective space ''P''5 by Plücker coordinates) with a hypersurface. It is called a line complex because points of ''G''(2, 4) correspond to lines in ''P''3, so a line complex can be thought of as a 3-dimensional family of lines in ''P''3. The linear line complex and quadric line complex are the cases when the hypersurface has degree 1 or 2; they are both rational varieties. ==References==
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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「Line complex」の詳細全文を読む
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