Holomorphically conjugate polynomial automorphisms of C2$\mathbb {C}^2$ are polynomially conjugate
Abstract We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms and with dynamical degree greater than 1 are conjugate by some holomorphic diffeomorphism , then is a polynomial automorphism; thus, and are conjugate inside . We also discuss a number of variations on this result.
Authors
- Romain Dujardin (ORCID: https://orcid.org/0000-0003-3798-0316)
- Serge Cantat (ORCID: https://orcid.org/0000-0002-7472-9115)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Sorbonne Université (FR)
- Institut de recherche mathématique de Rennes (FR)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-09-26
- DOI
- https://doi.org/10.1112/blms.13164
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- European Research Council