Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T08:56:35.746Z Has data issue: false hasContentIssue false
  • English
  • Français

The local index and the Swan conductor

Published online by Cambridge University Press:  04 December 2007

TSUZUKI NOBUO
TSUZUKI NOBUO
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima, 739, Japan; e-mail: tsuzuki@math.sci.hiroshima-u.ac.jp
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

etale φ-∇-moduleslocal indexSwan conductor.
Type
Research Article
Information
Compositio Mathematica , Volume 111 , Issue 3 , May 1998 , pp. 245 - 288
Copyright
© 1998 Kluwer Academic Publishers