A bound on the Castelnuovo-Mumford regularity for curves |
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Authors: | Atsushi Noma |
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Institution: | (1) Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama 240-8501 Japan (e-mail: noma@ed.ynu.ac.jp), JP |
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Abstract: | 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 .
Received: 29 May 2000 / Published online: 24 September 2001 |
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Keywords: | Mathematics Subject Classification (2000): 14H45 14N05 |
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