Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2002.07.01
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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.

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References

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