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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A speciality theorem for
Cohen-Macaulay space curves


Author: Enrico Schlesinger
Journal: Trans. Amer. Math. Soc. 351 (1999), 2731-2743
MSC (1991): Primary 14H50, 14F05, 14F17
Published electronically: February 23, 1999
MathSciNet review: 1641111
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove a version of the Halphen Speciality Theorem for locally Cohen-Macaulay curves in $\mathbb{P}^3$. To prove the theorem, we strengthen some results of Okonek and Spindler on the spectrum of the ideal sheaf of a curve. As an application, we classify curves $C$ having index of speciality as large as possible once we fix the degree of $C$ and the minimum degree of a surface containing $C$.


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Additional Information

Enrico Schlesinger
Affiliation: Dipartimento di Matematica, Università di Trento, 38050 Povo (Trento), Italy
Email: schlesin@science.unitn.it

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02435-6
PII: S 0002-9947(99)02435-6
Received by editor(s): April 20, 1997
Published electronically: February 23, 1999
Article copyright: © Copyright 1999 American Mathematical Society