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arXiv · 2207.02139

Polynomial factorization over henselian fields

Maria Alberich-Carramiñana·Jordi Guàrdia·Enric Nart·Adrien Poteaux·Joaquim Roé·Martin Weimann
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Abstract

Given a valued field $(K,v)$ and an irreducible polynomial $g\in K[x]$, 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 $g$ over a henselization of $(K,v)$.

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Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart, Adrien Poteaux, Joaquim Roé, Martin Weimann. 2022-07-05. Polynomial factorization over henselian fields. https://arxiv.org/abs/2207.02139

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