Stable reduction of three point covers
This note gives a survey of some recent results on the stable reduction of covers of the projective line branched at three points.
This note gives a survey of some recent results on the stable reduction of covers of the projective line branched at three points.
We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.
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