Polynomial factorization over henselian fields
Commutative Algebra
2022-07-06 v1
Abstract
Given a valued field and an irreducible polynomial , we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaqui\'e and Herrera-Olalla-Mahboub-Spivakovsky, leading (under certain conditions) to an algorithm to find the factorization of over a henselization of .
Cite
@article{arxiv.2207.02139,
title = {Polynomial factorization over henselian fields},
author = {Maria Alberich-Carramiñana and Jordi Guàrdia and Enric Nart and Adrien Poteaux and Joaquim Roé and Martin Weimann},
journal= {arXiv preprint arXiv:2207.02139},
year = {2022}
}