An ultrametric space of Eisenstein polynomials and ramification theory

2011/05/26 by Yoshida, Manabu
#11S05 #11S15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1105.5221

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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