2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68146Denote by B^k_{2,K} the locus of vector bundles of rank two and canonical determinant. We show that for a generic curve of genus g, B^k_{2,K} is non-empty if g is sufficiently large.To appear in Mathematische NachrichtenAlgebraic Geometry14H60text