PreprintCC BY-NC-ND 4.0arXiv
Rational points on loxodromic K3 surfaces and complex dynamics
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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BibTeX
@misc{gvirtzchen2026rational,
title = {{Rational points on loxodromic K3 surfaces and complex dynamics}},
author = {Damián Gvirtz-Chen and Zhizhong Huang and Zhuchao Ji and Junyi Xie},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04210},
eprint = {2611.04210},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04210},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Rational points on loxodromic K3 surfaces and complex dynamics
AU - Damián Gvirtz-Chen
AU - Zhizhong Huang
AU - Zhuchao Ji
AU - Junyi Xie
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04210
UR - https://arxiv.org/abs/2611.04210
AB - 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.
ER -