Indices of inseparability and refined ramification breaks
Number Theory
2014-04-08 v2
Abstract
Let K be a finite extension of Q_p and let L/K be a totally ramified (Z/pZ)^2-extension which has a single ramification break b. Byott and Elder defined a "refined ramification break" b_* for L/K. In this paper we prove that if p>2 and the index of inseparability i_1 of L/K is not equal to p^2b-pb then b_*=i_1-p^2b+pb+b.
Cite
@article{arxiv.1306.5422,
title = {Indices of inseparability and refined ramification breaks},
author = {Kevin Keating},
journal= {arXiv preprint arXiv:1306.5422},
year = {2014}
}