Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778310 | Advances in Mathematics | 2017 | 27 Pages |
Abstract
We prove that a finite family of commuting holomorphic self-maps of the unit ball BqâCq admits a simultaneous holomorphic conjugacy to a family of commuting automorphisms of a possibly lower dimensional ball, and that such conjugacy satisfies a universal property. As an application we describe when a hyperbolic and a parabolic holomorphic self-map of Bq can commute.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Leandro Arosio, Filippo Bracci,