An explicit triangular integral basis for any separable cubic extension of a function field
Number Theory
2017-06-20 v2
Abstract
We determine an explicit triangular integral basis for any separable cubic extension of a rational function field over a finite field in any characteristic. We obtain a formula for the discriminant of every such extension in terms of a standard form in a tower for the Galois closure.
Cite
@article{arxiv.1706.04952,
title = {An explicit triangular integral basis for any separable cubic extension of a function field},
author = {Sophie Marques and Kenneth Ward},
journal= {arXiv preprint arXiv:1706.04952},
year = {2017}
}
Comments
14 pages. Correction to Lemma 1.1(b)