2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102215Let X be a complex projective curve which is smooth and irreducible of genus 2. The moduli space M_2 of semistable symplectic vector bundles of rank 4 over X is a variety of dimension 10. After assembling some results on vector bundles of rank 2 and odd degree over X, we construct a generically finite cover of M_2 by a family of 5-dimensional projective spaces, and outline some applications.28 pages, several errors correctedAlgebraic Geometry14D20Moduli of rank 4 symplectic bundles over a curve of genus 2text