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math.AG2026
A motivic Poisson formula for split algebraic tori with an application to motivic height zeta functions
Margaret Bilu, Loïs Faisant
We prove a motivic version of the Poisson formula on the adelic points of a split algebraic torus and apply it to the study of the motivic height zeta function of split projective…
math.AG2026
Motivic counting of curves on split quintic del Pezzo surfaces
Christian Bernert, Loïs Faisant, Jakob Glas
We prove the "all-the-heights'' version of the Batyrev--Manin--Peyre conjecture for split quintic del Pezzo surfaces, both for counting rational points over global function fields…