2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70513We generalize Bertram's work on rank two vector bundles to an irreducible projective nodal curve C. We use extensions of a line bundle L by O_C and the associated `forgetful' map to study a compactification of the moduli space of semi-stable vector bundles of rank 2 and determinant L on C.32 pages, reference [Bho04] added, a few typos correctedAlgebraic GeometryExtensions and rank-2 vector bundles on irreducible nodal curvestext