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arXiv · 1205.5120

Lifting Artin-Schreier covers with maximal wild monodromy

Pierre Chrétien
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Abstract

Let $k$ be an algebraically closed field of characteristic $p > 0$. We consider the problem of lifting $p$-cyclic covers of $\Proj_k$ as $p$-cyclic covers of the projective line over some DVR under the condition that the wild monodromy is maximal. We answer positively the question for covers birational to $w^ p-w=tR(t)$ for some additive polynomial $R(t)$.

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Pierre Chrétien. 2012-05-23. Lifting Artin-Schreier covers with maximal wild monodromy. https://arxiv.org/abs/1205.5120

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