Local solubility of a family of ternary conics over a biprojective base I

Cameron Wilson

Let $f,g\in \mathbb{Z}[u_1,u_2]$ be binary quadratic forms. We provide upper bounds for the number of rational points $(u,v)\in\mathbb{P}^1(\mathbb{Q})\times\mathbb{P}^1(\mathbb{Q})…