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arXiv · 1812.11660

Refined ramification breaks in characteristic $p$

G. Griffith Elder·Kevin Keating
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Abstract

Let $K$ be a local field of characteristic $p$ and let $L/K$ be a totally ramified elementary abelian $p$-extension with a single ramification break $b$. Byott and Elder defined the refined ramification breaks of $L/K$, an extension of the usual ramification data. In this paper we give an alternative definition for the refined ramification breaks, and we use Artin-Schreier theory to compute both versions of the breaks in some special cases.

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G. Griffith Elder, Kevin Keating. 2018-12-31. Refined ramification breaks in characteristic $p$. https://arxiv.org/abs/1812.11660

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