On Clifford's Theorem for Rank-3 Bundles

@inproceedings{Lange2003OnCT,
  title={On Clifford's Theorem for Rank-3 Bundles},
  author={H. Lange and P. E. Newstead},
  year={2003}
}
In this paper we obtain bounds on h 0 (E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g ≥ 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s 1 (E), s 2 (E). 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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