Dynamics of automorphism groups of projective surfaces: classification, examples and outlook
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913504976437248 |
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| author | Cantat, Serge Dujardin, Romain |
| author_facet | Cantat, Serge Dujardin, Romain |
| contents | We first present an overview of our previous work on the dynamics of subgroups of automorphism groups of compact complex surfaces, together with a selection of open problems and new classification results. Then, we study two families of examples in depth: the first one comes from folding plane pentagons, and the second one is a family of groups introduced by Jérémy Blanc, which exhibits interesting new dynamical features. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01303 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamics of automorphism groups of projective surfaces: classification, examples and outlook Cantat, Serge Dujardin, Romain Algebraic Geometry Dynamical Systems We first present an overview of our previous work on the dynamics of subgroups of automorphism groups of compact complex surfaces, together with a selection of open problems and new classification results. Then, we study two families of examples in depth: the first one comes from folding plane pentagons, and the second one is a family of groups introduced by Jérémy Blanc, which exhibits interesting new dynamical features. |
| title | Dynamics of automorphism groups of projective surfaces: classification, examples and outlook |
| topic | Algebraic Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2310.01303 |