An ultrametric space of Eisenstein polynomials and ramification theory

Details An ultrametric space of Eisenstein polynomials and ramification theory An ultrametric space of Eisenstein polynomials and ramification theory

2011-05-26

arxiv.org/abs/1105.5221v2

Mathematics

Number Theory

11 pages

Scientific paper

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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