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A speciality theorem for Cohen-Macaulay space curves
Authors:Enrico Schlesinger
Institution: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 $\mathbb{P}^3$. 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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