On a quaternionic Picard theorem
Complex Variables
2020-08-28 v1 Algebraic Geometry
Differential Geometry
Number Theory
Rings and Algebras
Abstract
The classical theorem of Picard states that a non-constant holomorphic function can avoid at most one value. We investigate how many values a non-constant slice regular function of a quaternionic variable may avoid.
Cite
@article{arxiv.2006.15388,
title = {On a quaternionic Picard theorem},
author = {Cinzia Bisi and Joerg Winkelmann},
journal= {arXiv preprint arXiv:2006.15388},
year = {2020}
}
Comments
15 pages. To appear on Proc. Americ. Math. Soc. (2020)