The accessory parameter problem in positive characteristic
classification
🧮 math.AG
math.NT
keywords
characteristicdifferentialequationslocalpositiveaccessorycasedegree
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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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