The Moduli of Klein Covers of Curves
Abstract
We study the moduli space V4Mg of Klein four covers of genus g curves and its natural compactification. This requires the construction of a related space which has a choice of basis for the Klein four group. This space has the interesting property that the two components intersect along a component of the boundary. Further, we carry out a detailed analysis of the boundary, determining components, degrees of the components over their images in Mg, and computing the canonical divisor of V4Mg.
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