Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917624870338560 |
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| author | Cantat, Serge Dujardin, Romain |
| author_facet | Cantat, Serge Dujardin, Romain |
| contents | We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C^2, then ϕis a polynomial automorphism; thus, f and g are conjugate inside Aut(C^2). We also discuss a number of variations on this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate Cantat, Serge Dujardin, Romain Dynamical Systems Complex Variables We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C^2, then ϕis a polynomial automorphism; thus, f and g are conjugate inside Aut(C^2). We also discuss a number of variations on this result. |
| title | Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2403.19621 |