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

 

A characterization of integral curves with Gorenstein hyperplane sections


Author: Kohji Yanagawa
Journal: Proc. Amer. Math. Soc. 124 (1996), 1379-1384
MSC (1991): Primary 13C40, 13H10, 14H45, 14H50
MathSciNet review: 1301052
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Abstract: We classify a reduced, irreducible and non-degenerate curve $C \subset \mathbb{P}^{r}$ such that its general hyperplane section $C \cap H$ is arithmetically Gorenstein, but $C$ itself is not. These curves are contained in surface scrolls and are closely related to Castelnuovo theory on curves in projective space.


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Additional Information

Kohji Yanagawa
Affiliation: Department of Mathematics, School of Science, Nagoya University Chikusa-ku, Nagoya 464 Japan
Email: yanagawa@math.nagoya-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03163-2
PII: S 0002-9939(96)03163-2
Keywords: Gorenstein ring, hyperplane section, Castelnuovo curve, Uniform Position Lemma, surface scroll
Received by editor(s): July 19, 1994
Received by editor(s) in revised form: October 24, 1994
Communicated by: Wolmer V. Vasconcelos
Article copyright: © Copyright 1996 American Mathematical Society