Universal torsors and values of quadratic polynomials represented by norms

Ulrich Derenthal, Arne Smeets, Dasheng Wei

Let $K/k$ be an extension of number fields, and let $P(t)$ be a quadratic polynomial over $k$. Let $X$ be the affine variety defined by $P(t)=N_{K/k}(\mathbf{z})$. We study the H…