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.
Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials / A. Gori, G. Sarfatti, F. Vlacci. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - 685:(2024 Mar 15), pp. 162-181. [10.1016/j.laa.2024.01.005]
Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials
A. GoriPrimo
;
2024
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.
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