An ultrametric space of Eisenstein polynomials and ramification theory
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- by Manabu Yoshida PDF
- 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.References
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Additional Information
- Manabu Yoshida
- Affiliation: Graduate School of Mathematics, Kyushu University, Fukuoka 819-0395, Japan
- Email: m-yoshida@math.kyushu-u.ac.jp
- Received by editor(s): June 3, 2011
- Published electronically: April 25, 2012
- Additional Notes: The author is supported by the Japan Society for the Promotion of Scientist Fellowships for Young Scientists.
- Communicated by: Matthew A. Papanikolas
- © Copyright 2012 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 140 (2012), 4141-4151
- MSC (2010): Primary 11S15; Secondary 11S05
- DOI: https://doi.org/10.1090/S0002-9939-2012-11399-1
- MathSciNet review: 2957204