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

DOI:
https://doi.org/10.1090/S0002-9939-96-03163-2

MathSciNet review:
1301052

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Abstract: We classify a reduced, irreducible and non-degenerate curve such that its general hyperplane section is arithmetically Gorenstein, but 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:
https://doi.org/10.1090/S0002-9939-96-03163-2

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