Okutsu frames of irreducible polynomials over henselian fields
Commutative Algebra
2023-03-24 v2
Abstract
For a henselian valued field we establish a complete parallelism between the arithmetic properties of irreducible polynomials , encoded by their Okutsu frames, and the valuation-theoretic properties of their induced valuations on , encoded by their MacLane-Vaqui\'e chains. This parallelism was only known for defectless irreducible polynomials.
Keywords
Cite
@article{arxiv.2111.02811,
title = {Okutsu frames of irreducible polynomials over henselian fields},
author = {Maria Alberich-Carramiñana and Jordi Guàrdia and Joaquím Roé and Enric Nart},
journal= {arXiv preprint arXiv:2111.02811},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2107.09813