On bundles of rank 3 computing Clifford indices
Algebraic Geometry
2015-01-14 v3
Abstract
Let be a smooth irreducible projective algebraic curve defined over the complex numbers. The notion of the Clifford index of was extended a few years ago to semistable bundles of any rank. Recent work has been focussed mainly on the rank-2 Clifford index, although interesting results have also been obtained for the case of rank 3. In this paper we extend this work, obtaining improved lower bounds for the rank-3 Clifford index. This allows the first computations of the rank-3 index in non-trivial cases and examples for which the rank-3 index is greater than the rank-2 index.
Cite
@article{arxiv.1201.2333,
title = {On bundles of rank 3 computing Clifford indices},
author = {H. Lange and P. E. Newstead},
journal= {arXiv preprint arXiv:1201.2333},
year = {2015}
}
Comments
A few minor amendments; no mathematical changes; one additional reference