Deformation data, Belyi maps, and the local lifting problem

2008/01/09 by Irene I. Bouw, Stefan Wewers, Bouw, Irene I. +3 · 1 citation
Mathematics · #11G20 #14D15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #math.AG #math.NT #msc:11G20 #msc:14D15

paper · pdf · doi:10.48550/arxiv.0801.1418

arxiv created 2008/01/09 · openalex publication_date 2008/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 p of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow p-subgroup of order p.

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