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arXiv · 2310.01303

Dynamics of automorphism groups of projective surfaces: classification, examples and outlook

Serge Cantat·Romain Dujardin
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Abstract

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 J\'er\'emy Blanc, which exhibits interesting new dynamical features.

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Serge Cantat, Romain Dujardin. 2023-10-02. Dynamics of automorphism groups of projective surfaces: classification, examples and outlook. https://arxiv.org/abs/2310.01303

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