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  Journal of Algebraic Geometry
Journal of Algebraic Geometry
  
Online ISSN 1534-7486; Print ISSN 1056-3911		  

     

On the geometry of the moduli space of spin curves

Author(s): Katharina Ludwig
Journal: J. Algebraic Geom. 19 (2010), 133-171.
Posted: April 23, 2009
MathSciNet review: 2551759
Retrieve article in: PDF

Abstract | References | Additional information

Abstract: We determine the smooth locus and the locus of canonical singularities in the Cornalba compactification $ \overline{S}_g$ of the moduli space $ S_g$ 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 $ \overline{S}_g$ extends holomorphically to a desingularisation of $ \overline{S}_g$.

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Additional Information:

Katharina Ludwig
Affiliation: Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, D-30167 Hannover, Germany
Email: ludwig@math.uni-hannover.de

PII: S 1056-3911(09)00505-0
Received by editor(s): August 2, 2007
Received by editor(s) in revised form: October 18, 2007
Posted: April 23, 2009


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