On Abhyankar's lemma about ramification indices
Number Theory
2018-05-24 v1
Abstract
We provide a simple proof of the fact that the ramification index of the compositum of two finite extensions of local fields is equal to the least common multiple of the ramification indices when at least one of the extensions is tamely ramified.
Cite
@article{arxiv.1805.08869,
title = {On Abhyankar's lemma about ramification indices},
author = {Jean-Luc Chabert and Emmanuel Halberstadt},
journal= {arXiv preprint arXiv:1805.08869},
year = {2018}
}
Comments
3 pages