论文标题
塔中的变形循环盖
Deforming cyclic covers in towers
论文作者
论文摘要
Obus Weewers和Pop最近通过Oort解决了一个长期的猜想，该猜想说：特征性$ p> 0 $升降机的每个环状覆盖物都以特征为零。 Saïdi进一步询问这些封面是否也“可以在塔楼上抬起”。我们证明，这个问题的同等特征版本的答案是肯定的。我们的证明采用了Hurwitz树技术和Obus Weewers开发的工具。
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. Saïdi 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.
