Sebastian Herrero

This talk is about asymptotic formulas for the number of rational points of bounded (or large) height on Hirzebruch-Kleinschmidt varieties over global fields. These varieties are realizations of split toric varieties with Picard rank 2, and their explicit models enable computations that go beyond the general expectation of the Manin-Peyre conjecture. This is joint work with Tobías Martínez (University of El Salvador) and Pedro Montero (UTFSM, Chile).