3 citations · 5 across the 4 of their papers we have counts for
5 papers
An identification for Eisenstein polynomials over a p-adic field
Shun'ichi Yokoyama, Manabu Yoshida
In this note, we give a criteria whether given two Eisenstein polynomials over a padic field define the same extension (Proposition 1.6). In particular, we completely identify Eise…
An ultrametric space of Eisenstein polynomials and ramification theory
Manabu Yoshida
We give a criterion whether given Eisenstein polynomials over a local field K define the same extension over K in terms of a certain non-Archimedean metric on the set of polynomial…
A refinement of the local class field theory of Serre and Hazewinkel
Takashi Suzuki, Manabu Yoshida
We give a refinement of the local class field theory of Serre and Hazewinkel. This refinement allows the theory to treat extensions that are not necessarily totally ramified. Such…
Fontaine's property (Pm) at the maximal ramification break
Takashi Suzuki, Manabu Yoshida
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…
Ramification of local fields and Fontaine's property (Pm)
Manabu Yoshida
We prove that the ramification filtration of the absolute Galois group of a comlete discrete valuation field with perfect residue field is characterized in terms of Fontaine's prop…