4 papers
Asymptotic distribution of CM points on the reduction of the Drinfeld modular curve
Matias Alvarado, Patricio Pérez-Piña
We study a distribution problem over global function fields. More precisely, we describe the asymptotic distribution of rank CM Drinfeld modules among the irreducible component…
Equidistribution of Hecke Orbits on the Picard group of definite Shimura curves
Matias Alvarado, Patricio Pérez-Piña
We prove an equidistribution result about Hecke orbits on the Picard group of Shimura curves coming from definite quaternion algebras over function fields. In particular, we show t…
Equidistribution of Stark-Heegner and ATR cycles
Patricio Pérez-Piña
We prove the equidistribution of some cycles of S-arithmetic nature that are related to RM points and Stark-Heegner points. We also prove the equidistribution of Picard orbits of A…
p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves
Patricio Pérez-Piña
We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at p as well as a p-adic c…