English

Deformation data, Belyi maps, and the local lifting problem

Number Theory 2008-01-10 v1 Algebraic Geometry

Abstract

We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by reduction modulo pp of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow pp-subgroup of order pp.

Keywords

Cite

@article{arxiv.0801.1418,
  title  = {Deformation data, Belyi maps, and the local lifting problem},
  author = {Irene I. Bouw and Stefan Wewers and Leonardo Zapponi},
  journal= {arXiv preprint arXiv:0801.1418},
  year   = {2008}
}
R2 v1 2026-06-21T10:01:17.494Z