2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AG2005★ 1 cited
K3 surfaces with Picard number one and infinitely many rational points
Ronald van Luijk
In general, not much is known about the arithmetic of K3 surfaces. Once the geometric Picard number, which is the rank of the Neron-Severi group over an algebraic closure of the ba…
math.AG2004★ 1 cited
An elliptic K3 surface associated to Heron triangles
Ronald van Luijk
A rational triangle is a triangle with rational sides and rational area. A Heron triangle is a triangle with integral sides and integral area. In this article we will show that the…
math.AG2004★ 2 cited
A K3 surface associated to certain integral matrices with integral eigenvalues
Ronald van Luijk
In this article we will show that there are infinitely many symmetric, integral 3 x 3 matrices, with zeros on the diagonal, whose eigenvalues are all integral. We will do this by p…