Charles Siegel
Published 2014-07-14Version 1
We study the moduli space ${V}_4\mathcal{M}_{g}$ 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 $\overline{\mathcal{M}_g}$, and computing the canonical divisor of $\overline{{V}_4\mathcal{M}_{g}}$.
Construction of covers in positive characteristic via degeneration
Derivator Six-Functor-Formalisms - Construction II
New constructions of unexpected hypersurfaces in $\mathbb{P}^n$
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