Abstract
The distribution of complete and very ample linear series \({g_d^r}\) 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 \({g_d^r}\) satisfy this inequality. The interesting case g = 9 is discussed in detail.
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