论文标题
代数组和椭圆形K3表面的合理点的均匀电势密度
Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces
论文作者
论文摘要
如果各种都在将其地面场延伸到有界程度后,则一系列品种可以满足均匀的电势密度。在本文中,我们证明,在特征零和椭圆形的数字场上的固定尺寸的连接代数组中,均匀的电势密度在数字字段上具有固定尺寸的连接组。
A collection of varieties satisfies uniform potential density if each of them contains a dense subset of rational points after extending its ground field by a bounded degree. In this paper, we prove that uniform potential density holds for connected algebraic groups of a fixed dimension over fields of characteristic zero as well as elliptic K3 surfaces over number fields.