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The local index and the Swan conductor
Published online by Cambridge University Press: 04 December 2007
Abstract
In this paper we study local indices of systems of p-adic linearly differential equations which arise from p-adic representations of the absolute Galois group of local field of characteristic p with finite monodromy. We show the induction formula of the local index of p-adic differential equations and prove the equality between the local index of differential equations and the Swan conductor of p-adic Galois representations by inductive methods.
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- © 1998 Kluwer Academic Publishers
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