Bundles computing Clifford indices on trigonal curves (Q359622)

The paper is a natural continuation of previous papers of the authors, from which we note [Affine flag manifolds and principal bundles. Basel: Birkhäuser Trends in Mathematics, 165--202 (2010; Zbl 1227.14038)], where ``two definitions for Clifford indeces of semistable vector bundles on a smooth projective curve of genus \(g \geq 0\) were introduced. In this paper one shows that the bundles on a trigonal curve ``which compute the less restrictive Clifford index compute also the more more restrictive one''. The results ``are complete only for \(g=5, g=6, \text{ and } g \geq 17\), for a technical reason. The case of genus \(g=3\) is treated, as expected, separately.