28 citations · 146 across the 36 of their papers we have counts for
6 papers · 1 filter
Statistical properties of Hecke correspondences
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
This paper studies the statistical properties of the dynamical system generated by a Hecke correspondence on the modular curve over and, for every prime number , ov…
p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
For every prime number , this paper determines the asymptotic distribution of CM points on the moduli space of elliptic curves over . In stark contrast to the comp…
There are at most finitely many singular moduli that are S-units
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
We show that for every finite set of prime numbers S, there are at most finitely many singular moduli that are S-units. The key new ingredient is that for every prime number p, sin…
p-Adic distribution of CM points and Hecke orbits. I. Convergence towards the Gauss point
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
We study the asymptotic distribution of CM points on the moduli space of elliptic curves over , as the discriminant of the underlying endomorphism ring varies. In con…
On the essential minimum of Faltings' height
José Burgos Gil, Ricardo Menares, Juan Rivera-Letelier
We study the essential minimum of the (stable) Faltings height on the moduli space of elliptic curves. We prove that, in contrast to the Weil height on a projective space and the N…
The distribution of Galois orbits of points of small height in toric varieties
José Ignacio Burgos Gil, Patrice Philippon, Juan Rivera-Letelier +1
We address the distribution properties of points of small height on proper toric varieties and applications to the related Bogomolov property. We introduce the notion of monocritic…