On Clifford’s theorem for rank-3 bundles
Herbert Lange
Universität Erlangen-Nürnberg, GermanyPeter E. Newstead
University of Liverpool, UK
![On Clifford’s theorem for rank-3 bundles cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-22-issue-1.png&w=3840&q=90)
Abstract
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.
Cite this article
Herbert Lange, Peter E. Newstead, On Clifford’s theorem for rank-3 bundles. Rev. Mat. Iberoam. 22 (2006), no. 1, pp. 287–304
DOI 10.4171/RMI/456