Work

Polynomial factorization over henselian fields

Year: 2022

Type: preprint

Abstract: Given a valued field $(K,v)$ and an irreducible polynomial $g\in K[x]$, we survey the ideas of Ore, Maclane, Okutsu, Montes, Vaquié and Herrera-Olalla-Mahboub-Spivakovsky, leading (under certain conditions) to an algorithm to find the factorization of $g$ over a henselization of $(K,v)$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2207.02139

Authors: Alberich-Carramiñana, Maria, Guàrdia, Jordi, Nart, Enric, Poteaux, Adrien, Roé, Joaquim, Weimann, Martin

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agencia Estatal de Investigación

Awards: G1175115578, G1264927793, G2262748287, G300979063, G34346518, G3480869486, G425668148, G4526231891, G5080475149, G7084143925, G8193741119, G8684520763

OpenAlex ID: W4284697241

Cites:

Cited by: 1

Related to: 10