8 citations · 17 across the 14 of their papers we have counts for
15 papers
Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials
Anna Gori, Giulia Sarfatti, Fabio Vlacci
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…
On compact affine quaternionic curves and surfaces
Graziano Gentili, Anna Gori, Giulia Sarfatti
This paper is devoted to the study of affine quaternionic manifolds and to a possible classification of all compact affine quaternionic curves and surfaces. It is established that…
A direct approach to quaternionic manifolds
Graziano Gentili, Anna Gori, Giulia Sarfatti
The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold. We give the definition of quaternionic regular man…
Quaternionic toric manifolds
Graziano Gentili, Anna Gori, Giulia Sarfatti
In the present paper we introduce and study a new notion of toric manifold in the quaternionic setting. We develop a construction with which, starting from appropriate -dimensio…
Homogeneous Hypercomplex Structures and the Joyce's Construction
Lucio Bedulli, Anna Gori, Fabio Podestà
We prove that any invariant hypercomplex structure on a homogeneous space where is a compact Lie group is obtained via the Joyce's construction, provided that there e…
Maximal totally complex submanifolds of : homogeneity and normal holonomy
Lucio Bedulli, Anna Gori, Fabio Podestà
We prove that a maximal totally complex submanifold of the quaternionic projective space () is a parallel submanifold, provided one of th…