Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields

Shin Hattori

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6 Citations (Scopus)

Abstract

Let p>2 be a rational prime, k be a perfect field of characteristic p and K be a finite totally ramified extension of the fraction field of the Witt ring of k. Let G and H be finite flat commutative group schemes killed by p over OK and k[[u]], respectively. In this paper, we show the ramification subgroups of G and H in the sense of Abbes-Saito are naturally isomorphic to each other when they are associated to the same Kisin module.

Original languageEnglish
Pages (from-to)2084-2102
Number of pages19
JournalJournal of Number Theory
Volume132
Issue number10
DOIs
Publication statusPublished - Oct 1 2012

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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