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arXiv · 2212.02301

Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials

Anna Gori·Giulia Sarfatti·Fabio Vlacci
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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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Anna Gori, Giulia Sarfatti, Fabio Vlacci. 2022-12-05. Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials. https://arxiv.org/abs/2212.02301

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