Rational surfaces with a non-arithmetic automorphism group
Algebraic Geometry
2024-10-14 v3
Abstract
In arXiv:1008.3825, Totaro gave examples of a K3 surface such that its automorphism group is not commensurable with an arithmetic group, answering a question of Mazur. We give examples of rational surfaces with the same property. Our examples are Looijenga pairs, i.e., there is a connected singular nodal curve such that .
Cite
@article{arxiv.2310.08768,
title = {Rational surfaces with a non-arithmetic automorphism group},
author = {Jennifer Li and Sebastián Torres},
journal= {arXiv preprint arXiv:2310.08768},
year = {2024}
}
Comments
Final version. To appear in the Bulletin of the London Mathematical Society