A new class of twisted curves with colliding marked points is defined, their moduli stack is constructed, and a characterization shows some tame abelian orbicurves, including a μ4 example, do not arise from it.
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Curves with colliding points: logarithmic and stacky
A new class of twisted curves with colliding marked points is defined, their moduli stack is constructed, and a characterization shows some tame abelian orbicurves, including a μ4 example, do not arise from it.