An ultrametric space of Eisenstein polynomials and ramification theory

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.

11 pages

Cited by in corpus (1)

• A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields