3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
Motivic counting of rational curves with tangency conditions via universal torsors
Loïs Faisant
Using the formalism of Cox rings and universal torsors, we prove a decomposition of the Grothendieck motive of the moduli space of morphisms from an arbitrary smooth projective cur…
Motivic distribution of rational curves and twisted products of toric varieties
Loïs Faisant
This work concerns asymptotical stabilisation phenomena occurring in the moduli space of sections of certain algebraic families over a smooth projective curve, whenever the generic…
Geometric Batyrev-Manin-Peyre for equivariant compactifications of additive groups
Loïs Faisant
Building on previous works by Bilu, Chambert-Loir and Loeser, we study the asymptotic behaviour of the moduli space of sections of a given family over a smooth projective curve, as…