A remark on very ample linear series: II

摘要

The distribution of complete and very ample linear series g ~r _d on a curve X of genus g is only well known if they satisfy the inequality g-d ~+ r ≤ 1, for their index of speciality. In this paper we mainly study those curves X on which all complete and very ample g ~r _d satisfy this inequality. The interesting case g = 9 is discussed in detail.