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arXiv · 1701.02303

A compactification of the moduli space of multiple-spin curves

Emre Can Sertöz
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Abstract

We construct a smooth Deligne-Mumford compactification for the moduli space of curves with an m-tuple of spin structures using line bundles on quasi-stable curves as limiting objects, as opposed to line bundles on stacky curves. For all m, we give a combinatorial description of the local structure of the corresponding coarse moduli spaces. We also classify all irreducible and connected components of the resulting moduli spaces of multiple-spin curves.

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Emre Can Sertöz. 2017-01-07. A compactification of the moduli space of multiple-spin curves. https://doi.org/10.1007/s10711-023-00814-x

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