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

George H. Hitching
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Abstract

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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George H. Hitching. 2006-06-12. Moduli of rank 4 symplectic bundles over a curve of genus 2. https://arxiv.org/abs/math/0509049

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