Work

Okutsu frames of irreducible polynomials over Henselian fields

Year: 2025

Type: article

Abstract: For a Henselian valued field [Formula: see text] we establish a complete parallelism between the arithmetic properties of irreducible polynomials [Formula: see text], encoded by their Okutsu frames, and the valuation-theoretic properties of their induced valuations [Formula: see text] on [Formula: see text], encoded by their Mac Lane–Vaquié chains. This parallelism was only known for defectless irreducible polynomials.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826501823

Authors: Maria Alberich-Carramiñana, Jordi Guàrdia, Enric Nart, Joaquim Roé

Institutions: Institut de Robòtica i Informàtica Industrial, Universitat Politècnica de Catalunya, Universitat Autònoma de Barcelona

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Generalitat de Catalunya

Awards: G107460299, G1424329943, G2230600637, G7425137858