Tame characters and ramification of finite flat group schemes

Shin Hattori

doi:10.1016/j.jnt.2007.05.006

Tame characters and ramification of finite flat group schemes

Shin Hattori

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, for a complete discrete valuation field K of mixed characteristic (0, p) and a finite flat group scheme G of p-power order over O_K, we determine the tame characters appearing in the Galois representation G (over(K, ̄)) in terms of the ramification theory of Abbes and Saito, without any restriction on the absolute ramification index of K or the embedding dimension of G.

Original language	English
Pages (from-to)	1091-1108
Number of pages	18
Journal	Journal of Number Theory
Volume	128
Issue number	5
DOIs	https://doi.org/10.1016/j.jnt.2007.05.006
Publication status	Published - May 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2007.05.006

Cite this

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abstract = "In this paper, for a complete discrete valuation field K of mixed characteristic (0, p) and a finite flat group scheme G of p-power order over OK, we determine the tame characters appearing in the Galois representation G (over(K,{\= })) in terms of the ramification theory of Abbes and Saito, without any restriction on the absolute ramification index of K or the embedding dimension of G.",

author = "Shin Hattori",

year = "2008",

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AB - In this paper, for a complete discrete valuation field K of mixed characteristic (0, p) and a finite flat group scheme G of p-power order over OK, we determine the tame characters appearing in the Galois representation G (over(K, ̄)) in terms of the ramification theory of Abbes and Saito, without any restriction on the absolute ramification index of K or the embedding dimension of G.

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JF - Journal of Number Theory

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ER -

Tame characters and ramification of finite flat group schemes

Abstract

All Science Journal Classification (ASJC) codes

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