Deforming cyclic covers in towers
Abstract
Obus, Wewers, and Pop recently resolved a long-standing conjecture of Oort, which asserts that every cyclic cover of a curve in characteristic p lifts to characteristic zero.Saïdi subsequently asked whether these covers are also "liftable in towers."We prove that the answer to the equal-characteristic version of this question is affirmative.Our proof uses the Hurwitz tree technique along with tools developed by Obus and Wewers.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometric and Algebraic Topology
Polynomial and algebraic computation
Publication details
- Journal / source
- Algebraic geometry
- Publisher
- Foundation Compositio Mathematica
- Pages
- 305–370
- Publication date
- 21 April 2026
- Language
- EN