AN ULTRAMETRIC SPACE OF EISENSTEIN POLYNOMIALS AND RAMIFICATION THEORY

作者：Yoshida Manabu^*

来源：Proceedings of the American Mathematical Society, 2012, 140(12): 4141-4151.

DOI：10.1090/S0002-9939-2012-11399-1

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.

• 出版日期2012-12