Journal of Algebraic Geometry

Author(s): Katharina Ludwig
Journal: J. Algebraic Geom. 19 (2010), 133-171.
Posted: April 23, 2009
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Abstract: We determine the smooth locus and the locus of canonical singularities in the Cornalba compactification $\overline{S}_g$ of the moduli space

of spin curves, i.e., smooth curves of genus

with a theta characteristic. Moreover, the following lifting result for pluricanonical forms is proved: Every pluricanonical form on the smooth locus of $\overline{S}_g$ extends holomorphically to a desingularisation of $\overline{S}_g$ .

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