On an example of Mukai
Algebraic Geometry
2014-01-31 v4
Abstract
In this note we use an example of Mukai to construct semistable bundles of rank 3 with 6 independent sections on a curve of genus 9 or 11 with Clifford index strictly less than the Clifford index of the curve. The example also allows us to show the non-emptiness of some Brill-Noether loci with negative expected dimension.
Keywords
Cite
@article{arxiv.1003.4007,
title = {On an example of Mukai},
author = {H. Lange and V. Mercat and P. E. Newstead},
journal= {arXiv preprint arXiv:1003.4007},
year = {2014}
}
Comments
Final version for publication in Glasgow Math. J.; 1 added reference