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Ramification of a finite flat group scheme over a local field

✍ Scribed by Shin Hattori

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
132 KB
Volume
118
Category
Article
ISSN
0022-314X

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✦ Synopsis

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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