On the geometry of the moduli space of spin curves
Algebraic Geometry
2016-09-08 v1
Abstract
We determine the smooth locus and the locus of canonical singularities in the Cornalba compactification \bar 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 \bar S_g extends holomorphically to a desingularisation of \bar S_g.
Keywords
Cite
@article{arxiv.0707.1831,
title = {On the geometry of the moduli space of spin curves},
author = {Katharina Ludwig},
journal= {arXiv preprint arXiv:0707.1831},
year = {2016}
}
Comments
PDFLaTeX, 36 pages, 28 figures