Moduli of rank 4 symplectic bundles over a curve of genus 2

Details Moduli of rank 4 symplectic bundles over a curve of genus 2 Moduli of rank 4 symplectic bundles over a curve of genus 2

2005-09-02

arxiv.org/abs/math/0509049v2

Mathematics

Algebraic Geometry

28 pages, several errors corrected

Scientific paper

Let 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.

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