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1 results

  • The local index and the Swan conductor

  • TSUZUKI NOBUO
  • Journal:
    Compositio Mathematica / Volume 111 / Issue 3 / May 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 245-288
    Print publication:
    May 1998
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  • 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.