The local index and the Swan conductor

Tsuzuki Nobuo

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)245-288
Number of pages44
JournalCompositio Mathematica
Issue number3
Publication statusPublished - 1998
Externally publishedYes


  • Etale φ-∇-modules
  • Local index
  • Swan conductor

ASJC Scopus subject areas

  • Algebra and Number Theory


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