The accessory parameter problem in positive characteristic

2007/05/03 by Irene I. Bouw, Bouw, Irene I.
Mathematics · #12H20 #14D10 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:12H20 #msc:14D10

paper · pdf · doi:10.48550/arxiv.0705.0458

arxiv created 2007/05/03 · arxiv updated 2009/12/01

Abstract

We study the existence of Fuchsian differential equations in positive characteristic with nilpotent p-curvature, and given local invariants. In the case of differential equations with logarithmic local mononodromy, we determine the minimal possible degree of a polynomial solution.

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