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

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

2007-03-21

arxiv.org/abs/math/0703635v2

Mathematics

Algebraic Geometry

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Scientific paper

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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