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Moduli of curves with non-abelian level structure

Martin Pikaart, Johan de Jong

alg-geomarXiv:alg-geom/9501003

Abstract

Following Deligne and Mumford we construct a coarse moduli space of smooth curves with non-abelian level structure, involving higher order commutators. We prove that its Deligne-Mumford compactification is smooth over an open part of Spec( Z).

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