A Koszul complex in quaternionic analysis and its applications

Yong Li, Yuchen Zhang

Let $n⩾1,\Omega \subset {\mathbb{H}}^n$ be a domain. We construct a Koszul-type complex for the ideal sheaf ${\mathcal{I}}_X^{(k)}$ of $k$-regular functions vanishing on $X=\{(q_0,…