[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2002.39.4.593

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

Ballico, Edoardo (Department of Mathematics University of Trento)
Homma, Masaaki (Department of Mathematics Faculty of Engineering Kanagawa University)
Ohbuchi, Akira (Department of Mathematics Faculty of Integrated Arts and Sciences Tokushima University)

Publication Information

Journal of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 593-609 More about this Journal

Abstract

The order of speciality of an ample invertible Sheaf L on a curve is the least integer m so that $L^{ m}$ 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;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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