E. Yu. Amerik, M. A. Lozhkin, “An Example of Potential Density on the Hilbert Cube of a K3 Surface”, Trudy Mat. Inst. Steklova, 2025, Volume 329,Pages <nobr>19

An Example of Potential Density on the Hilbert Cube of a K3 Surface

E. Yu. Amerik^ab, M. A. Lozhkin^a

^a Laboratory of Algebraic Geometry and Its Applications, HSE University, ul. Usacheva 6, Moscow, 119048 Russia
^b Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay, Campus d'Orsay, Bátiment 307, F-91405 Orsay Cedex, France

Abstract: We give a new example of potential density of rational points on the third punctual Hilbert scheme of a K3 surface.

Keywords: rational points, birational automorphism, K3 surface, holomorphic symplectic manifold.

Received: December 10, 2024
Revised: May 2, 2025
Accepted: June 15, 2025

DOI: 10.4213/tm4467