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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Points not as hyperplane sections of projectively normal curves


Author: Edoardo Ballico
Journal: Proc. Amer. Math. Soc. 112 (1991), 343-346
MSC: Primary 14H45; Secondary 14M05
MathSciNet review: 1052870
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Abstract: Here we show for many $ n,d$ (with $ n \geq 6$) that the general set formed by $ d$ points in $ {{\mathbf{P}}^n}$ is not the hyperplane section of an integral projectively normal curve in $ {{\mathbf{P}}^{n + 1}}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1052870-9
PII: S 0002-9939(1991)1052870-9
Keywords: Hyperplane section, projective normal curve, arithmetically Cohen-Macaulay curve, normal sheaf
Article copyright: © Copyright 1991 American Mathematical Society