An example of potential density on $Hilb^3$ of a K3 surface

TL;DR

This paper presents a new example demonstrating potential density of rational points on the third punctual Hilbert scheme of a K3 surface, contributing to understanding rational points on complex algebraic varieties.

Contribution

It introduces a novel example of potential density on a specific moduli space associated with K3 surfaces, expanding known cases.

Findings

Potential density established for a new class of Hilbert schemes

Provides insights into rational points on K3-related moduli spaces

Enhances understanding of rational point distribution in algebraic geometry

Abstract

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