Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-09T06:53:25.628Z Has data issue: false hasContentIssue false

The local index and the Swan conductor

Published online by Cambridge University Press:  04 December 2007

TSUZUKI NOBUO
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University, Higashi-Hiroshima, 739, Japan; e-mail: [email protected]
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.

Type
Research Article
Copyright
© 1998 Kluwer Academic Publishers