## The Hasse problem for rational surfaces

- B. J. Birch, H.P.F. Swinnerton-Dyer
- J. Reine Angew. Math.,
- 1975

@inproceedings{Bright2008CounterexamplesTT, title={Counterexamples to the Hasse principle Martin Bright 16 April 2008 1 The Hasse principle}, author={Martin Bright}, year={2008} }

- Published 2008

In both of these examples, we have proved that X(Q) = ∅ by showing that X(Qv) = ∅ for some place v. In the first case it was v = ∞, the real place. In the second case we showed that X(Q2) was empty: the argument applies equally well to a supposed solution over Q2. Given a variety X over a number field k and a place v of k, it is a finite procedure to decide… CONTINUE READING

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