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arXiv · 2611.04210

Rational points on loxodromic K3 surfaces and complex dynamics

Damián Gvirtz-Chen·Zhizhong Huang·Zhuchao Ji·Junyi Xie
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Abstract

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.

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Damián Gvirtz-Chen, Zhizhong Huang, Zhuchao Ji, Junyi Xie. 2026-11-03. Rational points on loxodromic K3 surfaces and complex dynamics. https://arxiv.org/abs/2611.04210

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