The Hurwitz tree obstruction for the refined local lifting problem

2024/05/03 by Huy Dang, Dang, Huy
Engineering · #Optimization and Packing Problems

paper · pdf · doi:10.48550/arxiv.2405.01845

Abstract

In this manuscript, we formulate the differential Hurwitz tree obstructions for the refined local lifting problem. We specifically explore the circumstances under which these obstructions vanish for cyclic covers. The constructions presented in this paper will be used to address the refined local lifting problem in our forthcoming works.

Related

• An obstruction to the local lifting problem
• Deforming cyclic covers in towers
• Artin characters, Hurwitz trees and the lifting problem
• The refined local lifting problem for cyclic covers of order four
• The local lifting problem for actions of finite groups on curves