an:01799821
Zbl 1058.14503
Ballico, Edoardo; Homma, Masaaki; Ohbuchi, Akira
On the order of speciality of a simple, special, and complete linear system on a curve
EN
J. Korean Math. Soc. 39, No. 4, 593-609 (2002).
00085800
2002
j
14H51 14H45
Castelnuovo's genus bound
Summary: The order of speciality of an ample invertible sheaf \(L\) on a curve is the least integer \(m\) so that \(L^{\otimes m}\) 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 formulate Castelnuovo's genus bound involving the order of speciality.