125 citations
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Showing 2004 · math.AGShow all
2 papers · 2 filters
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…