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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