2 papers
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…
alg-geom1997
Beyond the Manin obstruction
Alexei Skorobogatov
We construct a (smooth, projective) surface over the field of rational numbers, which is a counterexample to the Hasse principle not accounted for by the Manin obstruction. The con…