Further remarks on local discriminants
Number Theory
2010-11-29 v2
Abstract
Using Kummer theory for a finite extension K of \Qp(\zeta)(where p is a prime number and \zeta a primitive p-th root of~1), we compute the ramification filtration and the discriminant of an arbitrary elementary abelian p-extension of K. We also develop the analogous Artin-Schreier theory for finite extensions of \Fp((\pi)) and derive similar results for their elementary abelian p-extensions.
Cite
@article{arxiv.0909.2541,
title = {Further remarks on local discriminants},
author = {Chandan Singh Dalawat},
journal= {arXiv preprint arXiv:0909.2541},
year = {2010}
}
Comments
26 pages