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PreprintarXiv licencearXiv

Equidistribution of saddle periodic points for automorphisms on compact Kähler manifolds

  • Muhan Luo
  • Qi Zhou
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Abstract

Let f be a holomorphic automorphism of a compact Kähler manifold X with simple cohomological action. We prove that the saddle periodic points of f equidistribute with respect to the equilibrium measure. In particular, our result applies to every holomorphic automorphism of a compact Kähler surface with positive topological entropy.

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Cite

BibTeXRIS
BibTeX
@misc{luo2026equidistribution,
  title = {{Equidistribution of saddle periodic points for automorphisms on compact Kähler manifolds}},
  author = {Muhan Luo and Qi Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30204},
  eprint = {2609.30204},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30204},
}
RIS
TY  - UNPB
TI  - Equidistribution of saddle periodic points for automorphisms on compact Kähler manifolds
AU  - Muhan Luo
AU  - Qi Zhou
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.30204
UR  - https://arxiv.org/abs/2609.30204
AB  - Let f be a holomorphic automorphism of a compact Kähler manifold X with simple cohomological action. We prove that the saddle periodic points of f equidistribute with respect to the equilibrium measure. In particular, our result applies to every holomorphic automorphism of a compact Kähler surface with positive topological entropy.
ER  -