A speciality theorem for Cohen-Macaulay space curves
Authors:
Enrico Schlesinger
Affiliation:
Dipartimento di Matematica, Università di Trento, 38050 Povo (Trento), Italy
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 .