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math.NT2004
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…
math.NT2003★ 6 cited
A conjecture of Yves Andre
Andrei Yafaev
In this paper we prove, assuming the Generalised Riemann Hypothesis, a conjecture of Yves Andre that that asserts that a curve in a Shimura variety containing an infinite set of sp…