On Clifford's theorem for rank-3 bundles

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69019In 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 2.15 pagesAlgebraic Geometry14H60;14F05;32L10On Clifford's theorem for rank-3 bundlestext