On Clifford's theorem for rank-3 bundles

H. Lange; P. E. Newstead

On Clifford's theorem for rank-3 bundles

Algebraic Geometry 2007-05-23 v1

Authors: H. Lange , P. E. Newstead

Abstract

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 $g \geq 2$ 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.

Keywords

vector bundles moduli spaces of vector bundles vector bundles and cohomology

Cite

@article{arxiv.math/0310463,
  title  = {On Clifford's theorem for rank-3 bundles},
  author = {H. Lange and P. E. Newstead},
  journal= {arXiv preprint arXiv:math/0310463},
  year   = {2007}
}

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15 pages

On Clifford's theorem for rank-3 bundles

Abstract

Keywords

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