A bound on the Castelnuovo-Mumford regularity for curves

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• 作者：Atsushi Noma
• 关键词：Mathematics Subject Classification (2000) ; 14H45 ; 14N05
• 刊名：Mathematische Annalen
• 出版年：2002
• 出版时间：January 2002
• 年：2002
• 卷：322
• 期：1
• 页码：69-74
• 全文大小：73 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1807

文摘

Recall that a projective curve in with ideal sheaf is said to be n-regular if for every integer and that in this case, it is cut out scheme-theoretically by equations of degree at most n. The purpose here is to show that an irreducible, reduced, projective curve of degree d and large arithmetic genus satisfies a smaller regularity bound than the optimal one . For example, if then a curve is -regular unless it is embedded by a complete linear system of degree .