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Wild ramification kinks

Wild ramification kinks Given a branched cover $$f{:}\,Y\rightarrow X$$ f : Y → X between smooth projective curves over a non-archimedean mixed-characteristic local field and an open rigid disk $$D\subset X$$ D ⊂ X , we study the question under which conditions the inverse image $$f^{-1}(D)$$ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

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References (14)

Publisher
Springer Journals
Copyright
Copyright © 2016 by The Author(s)
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
DOI
10.1186/s40687-016-0070-0
Publisher site
See Article on Publisher Site

Abstract

Given a branched cover $$f{:}\,Y\rightarrow X$$ f : Y → X between smooth projective curves over a non-archimedean mixed-characteristic local field and an open rigid disk $$D\subset X$$ D ⊂ X , we study the question under which conditions the inverse image $$f^{-1}(D)$$ 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.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: Oct 1, 2016

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