2 papers
math.NT2022
Regular models of modular curves in prime level over
Bas Edixhoven, Pierre Parent
We give regular models for modular curves associated with (normalizer of) split and non-split Cartan subgroups of (for any prime, ).…
math.NT2007
Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves
Pierre Parent, Andrei Yafaev
In this paper we give a method for studying global rational points on certain quotients of Shimura curves by Atkin-Lehner involutions. We obtain explicit conditions on such quotien…