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
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.