Wild ramification kinks

Wild ramification kinks

Given a branched cover f : Y → X between smooth projective curves over a non-archimedean mixed-characteristic local field and an open rigid disk D ⊂ X , we study the question under which conditions the inverse image f - 1 ( D ) is again an open disk. More generally, if the cover f varies in an analy...

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Veröffentlicht in:Research in the mathematical sciences 2016-10, Vol.3 (1), p.1-27, Article 21
Hauptverfasser: Obus, Andrew, Wewers, Stefan
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Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
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description Given a branched cover f : Y → X between smooth projective curves over a non-archimedean mixed-characteristic local field and an open rigid disk D ⊂ X , we study the question under which conditions the inverse image f - 1 ( D ) is again an open disk. More generally, if the cover f varies in an analytic family, is this true at least for some member of the family? Our main result gives a criterion for this to happen.
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subjects Applications of Mathematics
Computational Mathematics and Numerical Analysis
Mathematics
Mathematics and Statistics
title Wild ramification kinks
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