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A speciality theorem for Cohen-Macaulay space curves
Author(s):
Enrico
Schlesinger
Journal:
Trans. Amer. Math. Soc.
351
(1999),
2731-2743.
MSC (1991):
Primary 14H50, 14F05, 14F17
Posted:
February 23, 1999
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Abstract:
We prove a version of the Halphen Speciality Theorem for locally Cohen-Macaulay curves in  . 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  having index of speciality as large as possible once we fix the degree of  and the minimum degree of a surface containing  .
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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:
10.1090/S0002-9947-99-02435-6
PII:
S 0002-9947(99)02435-6
Received by editor(s):
April 20, 1997
Posted:
February 23, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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