Enumerating Extensions of $(\pi)$-Adic Fields with Given Invariants
Number Theory
2017-03-22 v1
Abstract
We give an algorithm that constructs a minimal set of polynomials defining all extension of a -adic field with given, inertia degree, ramification index, discriminant, ramification polygon, and residual polynomials of the segments of the ramification polygon.
Cite
@article{arxiv.1504.06671,
title = {Enumerating Extensions of $(\pi)$-Adic Fields with Given Invariants},
author = {Sebastian Pauli and Brian Sinclair},
journal= {arXiv preprint arXiv:1504.06671},
year = {2017}
}