Rational points on loxodromic K3 surfaces and complex dynamics
We establish an analogue of the Hilbert irreducibility theorem for all K3 surfaces over number fields that admit an automorphism of positive entropy. Our method draws ingredients from both algebraic geometry and complex dynamics.
Authors
- Junyi Xie (ORCID: https://orcid.org/0000-0001-7386-8810)
- Zhuchao Ji (ORCID: https://orcid.org/0000-0002-3603-5278)
- Damián Gvirtz (ORCID: https://orcid.org/0000-0002-6830-2756)
- Zhizhong Huang (ORCID: https://orcid.org/0000-0001-8962-1265)
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-11-03
- DOI
- https://doi.org/10.48550/arxiv.2611.04210
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- preprint