An ultrametric space of Eisenstein polynomials and ramification theory

Yoshida, Manabu

doi:10.1090/S0002-9939-2012-11399-1

An ultrametric space of Eisenstein polynomials and ramification theory
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Proc. Amer. Math. Soc. 140 (2012), 4141-4151 Request permission

Abstract:

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 polynomials. The criterion and its proof depend on ramification theory.

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