An ultrametric space of Eisenstein polynomials and ramification theory
classification
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keywords
polynomialscriterioneisensteinramificationtheorycertaindefinedepend
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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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