Fontaine's property (Pm) at the maximal ramification break
Number Theory
2019-10-08 v2
Abstract
We completely determine which extension of local fields satisfies Fontaine's property (Pm) for a given real number m. A key ingredient of the proof is the local class field theory of Serre and Hazewinkel.
Keywords
Cite
@article{arxiv.1012.2935,
title = {Fontaine's property (Pm) at the maximal ramification break},
author = {Takashi Suzuki and Manabu Yoshida},
journal= {arXiv preprint arXiv:1012.2935},
year = {2019}
}
Comments
10 pages; to appear in the Journal of Mathematical Sciences, the University of Tokyo, 20 (2013), 1-13