In this paper we obtain bounds on where is a semistable bundle of rank 3 over a smooth irreducible projective curve of genus defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability , . We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2.
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Christoph Scheven, Peter E. Newstead, On Clifford’s theorem for rank-3 bundles. Rev. Mat. Iberoam. 22 (2006), no. 1, pp. 287–304DOI 10.4171/RMI/456