Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914191755968512 |
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| author | Bacher, François |
| author_facet | Bacher, François |
| contents | Consider $\mathscr{F}=(M,\mathscr{L},E)$ a Brody-hyperbolic foliation on a compact complex surface $M$. Suppose that the singularities of $\mathscr{F}$ are all non-degenerate. We show that the hyperbolic entropy of $\mathscr{F}$ is finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17236 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities Bacher, François Dynamical Systems Complex Variables 37F75 (Primary) 37A35 (Secondary) Consider $\mathscr{F}=(M,\mathscr{L},E)$ a Brody-hyperbolic foliation on a compact complex surface $M$. Suppose that the singularities of $\mathscr{F}$ are all non-degenerate. We show that the hyperbolic entropy of $\mathscr{F}$ is finite. |
| title | Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities |
| topic | Dynamical Systems Complex Variables 37F75 (Primary) 37A35 (Secondary) |
| url | https://arxiv.org/abs/2311.17236 |