Resultants of slice regular polynomials in two quaternionic variables
Complex Variables
2024-03-27 v1
Abstract
We introduce a non-commutative resultant, for slice regular polynomials in two quaternionic variables, defined in terms of a suitable Dieudonn\'e determinant.We use this tool to investigate the existence of common zeros of slice regular polynomials.
Cite
@article{arxiv.2403.17019,
title = {Resultants of slice regular polynomials in two quaternionic variables},
author = {Anna Gori and Giulia Sarfatti and Fabio Vlacci},
journal= {arXiv preprint arXiv:2403.17019},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2212.02301