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A compactification of the moduli space of multiple-spin curves

A compactification of the moduli space of multiple-spin curves

Abstract We construct a smooth Deligneā€“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 ā€¦