ON THE ORDER OF SPECIALITY OF A SIMPLE, SPECIAL, AND COMPLETE LINEAR SYSTEM ON A CURVE

Title & Authors
ON THE ORDER OF SPECIALITY OF A SIMPLE, SPECIAL, AND COMPLETE LINEAR SYSTEM ON A CURVE
Ballico, Edoardo; Homma, Masaaki; Ohbuchi, Akira;

Abstract
The order of speciality of an ample invertible Sheaf L on a curve is the least integer m so that $\small{L^{ m}}$ is nonspecial. There is a reasonable upper bound of the order of speciality for a simple invertible sheaf in terms of its degree and projective dimension. We study the case where it reaches the upper bound. Moreover we for mulate Castelnuovo's genus bound involving the order of speciality.ality.
Keywords
order of speciality;Castelnuovo's genus bound;
Language
English
Cited by
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