Abstract: | Let X be a complex projective curve which is smooth and irreducibleof genus 2. The moduli space 2 of semistable symplectic vectorbundles of rank 4 over X is a variety of dimension 10. Afterassembling some results on vector bundles of rank 2 and odddegree over X, we construct a generically finite cover of 2by a family of 5-dimensional projective spaces, and outlinesome applications. |