Moduli of curves with non-abelian level structure

Mathematics – Algebraic Geometry

Scientific paper

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25 pages, latex, only hand-drawn figures.

Scientific paper

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(${\msy Z}$).

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