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arXiv · 2609.37695

Codimension-one holomorphic Anosov diffeomorphisms

Jiesong Zhang
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Abstract

We prove that every codimension-one holomorphic Anosov diffeomorphism of a compact connected complex manifold is biholomorphically conjugate to a hyperbolic automorphism of a complex torus. This verifies a conjecture of Ghys in the codimension-one case and, in particular, in complex dimension three.

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Jiesong Zhang. 2026-09-29. Codimension-one holomorphic Anosov diffeomorphisms. https://arxiv.org/abs/2609.37695

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