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arXiv · 2010.13614

Deforming cyclic covers in towers

Huy Dang
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Abstract

Obus-Wewers and Pop recently resolved a long-standing conjecture by Oort that says: every cyclic cover of a curve in characteristic $p>0$ lifts to characteristic zero. Sa\"idi further asks whether these covers are also "liftable in towers". We prove that the answer for the equal-characteristic version of this question is affirmative. Our proof employs the Hurwitz tree technique and the tools developed by Obus-Wewers.

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Huy Dang. 2020-10-22. Deforming cyclic covers in towers. https://arxiv.org/abs/2010.13614

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