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Local structure of SU_C(3) for a curve of genus 2

Olivier Serman
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Abstract

The aim of this note is to give a precise description of the local structure of the moduli space of rank 3 vector bundles over a curve of genus 2, which is in particular shown to be a local complete intersection. This allows us to investigate the local structure of the branch locus of the theta map, whose dual is known to be the Coble cubic in P^8.

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Olivier Serman. 2007-03-27. Local structure of SU_C(3) for a curve of genus 2. https://arxiv.org/abs/math/0703635

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