Deformation data, Belyi maps, and the local lifting problem

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

2008-01-09

arxiv.org/abs/0801.1418v1

Mathematics

Number Theory

Scientific paper

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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