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Castelnuovo curve : ウィキペディア英語版 | Castelnuovo curve In algebraic geometry, a Castelnuovo curve, studied by , is a curve in projective space P''n'' of maximal genus ''g'' among irreducible non-degenerate curves of given degree ''d''. Castelnuovo showed that the maximal genus is given by the Castelnuovo bound : where ''m'' and ε are the quotient and remainder when dividing ''d''–1 by ''n''–1. Castelnuovo described the curves satisfying this bound, showing in particular that they lie on either a rational normal scroll or on the Veronese surface. ==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「Castelnuovo curve」の詳細全文を読む
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