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

Algebraic Geometry 2007-05-23 v2

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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Cite

@article{arxiv.math/0703635,
  title  = {Local structure of SU_C(3) for a curve of genus 2},
  author = {Olivier Serman},
  journal= {arXiv preprint arXiv:math/0703635},
  year   = {2007}
}

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