Quartic del Pezzo surfaces over ${\mathbb{F}}_p(t)$ without quadratic points

Giorgio Navone, Katerina Santicola, Harry C. Shaw +1

We construct an infinite family of quartic del Pezzo surfaces over ${\mathbb{F}}_p(t)$ with no quadratic points, for all primes $p\ne 2$. This answers a question of Colliot--Thélè…