## Fontaine's Property $({\bf P}_{m})$ at the Maximal Ramification Break

J. Math. Sci. Univ. Tokyo
Vol. 20 (2013), No. 2, Page 271–283.

Suzuki, Takashi; Yoshida, Manabu
Fontaine's Property $({\bf P}_{m})$ at the Maximal Ramification Break
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Abstract:
We completely determine which extension of local fields satisfies Fontaine's property (P$_{m}$) for a given real number $m$. A key ingredient of the proof is the local class field theory of Serre and Hazewinkel.

Keywords: Fontaine's property (Pm); ramification; local class field theory.

Mathematics Subject Classification (2010): Primary 11S15; Secondary 11S31.
Mathematical Reviews Number: MR3154381

Received: 2011-03-23