Ramification of a finite flat group scheme over a local field |
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Authors: | Shin Hattori |
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Affiliation: | Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, 153-8914 Tokyo, Japan |
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Abstract: | In this paper, we analyze ramification in the sense of Abbes-Saito of a finite flat group scheme over the ring of integers of a complete discrete valuation field of mixed characteristic (0,p). We deduce that its Galois representation depends only on its reduction modulo explicitly computed p-power. We also give a new proof of a theorem of Fontaine on ramification of a finite flat Galois representation, and extend it to the case where the residue field may be imperfect. |
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Keywords: | Galois representation Group scheme Ramification |
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