Mathematical Research Letters

Volume 12 (2005)

Number 5

Shimura coverings of Shimura curves and the Manin obstruction

Pages: 779 – 788

DOI: http://dx.doi.org/10.4310/MRL.2005.v12.n5.a14

Author

Alexei Skorobogatov (Imperial College London, South Kensington)

Abstract

We prove that the counterexamples to the Hasse principle on Shimura curves over imaginary quadratic fields found by B. Jordan are accounted for by the Manin obstruction.

Full Text (PDF format)