22 citations · 137 across the 27 of their papers we have counts for
4 papers · 1 filter
Three Topological Results on the Twistor Discriminant Locus in the 4-Sphere
Amedeo Altavilla, Edoardo Ballico
We exploit techniques from classical (real and complex) algebraic geometry for the study of the standard twistor fibration . We prove three results abou…
-exponential of slice-regular functions
Amedeo Altavilla, Chiara de Fabritiis
According to [5] we define the -exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions. Explicit formulas for $…
Twistor lines on algebraic surfaces
Amedeo Altavilla, Edoardo Ballico
We give quantitative and qualitative results on the family of surfaces in containing finitely many twistor lines. We start by analyzing the ideal sheaf of a finite…
S-regular functions which preserve a complex slice
Amedeo Altavilla, Chiara de Fabritiis
We study global properties of quaternionic slice regular functions (also called s-regular) defined on symmetric slice domains. In particular, thanks to new techniques and points of…