Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials
Complex Variables
2023-11-10 v2 Algebraic Geometry
Abstract
We study the vanishing sets of slice regular polynomials in several quaternionic variables. We obtain a geometric description of the vanishing sets in two variables, which leads to a new version of the Strong Hilbert Nullstellensatz in the quaternionic setting.
Cite
@article{arxiv.2212.02301,
title = {Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials},
author = {Anna Gori and Giulia Sarfatti and Fabio Vlacci},
journal= {arXiv preprint arXiv:2212.02301},
year = {2023}
}
Comments
20 pages