On the arithmetic of a family of degree-two K3 surfaces

Florian Bouyer, Edgar Costa, Dino Festi +2

Let $\mathbb{P}$ denote the weighted projective space with weights $(1,1,1,3)$ over the rationals, with coordinates $x,y,z,$ and $w$; let $\mathcal{X}$ be the generic element of th…