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arXiv · 2311.17236

Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities

François Bacher
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Abstract

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.

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François Bacher. 2023-11-28. Finiteness of hyperbolic entropy for holomorphic foliations with non-degenerate singularities. https://arxiv.org/abs/2311.17236

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