On the Geometry of the Moduli Space of Spin Curves

  title={On the Geometry of the Moduli Space of Spin Curves},
  author={Katharina Ludwig},
We determine the smooth locus and the locus of canonical singularities in the Cornalba compactification Sg of the moduli space Sg of spin curves, i.e., smooth curves of genus g with a theta characteristic. Moreover, the following lifting result for pluricanonical forms is proved: Every pluricanonical form on the smooth locus of Sg extends holomorphically to a desingularisation of Sg. 

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