papers
Publications (3)
math.NT2010
On rigid analytic uniformizations of Jacobians of Shimura curves
M. Longo, V. Rotger, S. Vigni
The main goal of this article is to give an explicit rigid analytic uniformization of the maximal toric quotient of the Jacobian of a Shimura curve over the field of rational numbe…
math.NT2004
The arithmetic of QM-abelian surfaces through their Galois representations
Luis V. Dieulefait, V. Rotger
This note provides an insight to the diophantine properties of abelian surfaces with quaternionic multiplication over number fields. We study the fields of definition of the endomo…
math.NT2005
Failure of the Hasse principle for Atkin-Lehner quotients of Shimura curves over \Q
V. Rotger, A. Skorobogatov, A. Yafaev
We show how to construct counter-examples to the Hasse principle over the field of rational numbers on Atkin-Lehner quotients of Shimura curves and on twisted forms of Shimura curv…