# Deformation data, Belyi maps, and the local lifting problem

Authors
Type
Preprint
Publication Date
Jan 09, 2008
Submission Date
Jan 09, 2008
Identifiers
arXiv ID: 0801.1418
Source
arXiv
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 $p$ of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow $p$-subgroup of order $p$.