Counterexamples to the Hasse principle Martin Bright 16 April 2008 1 The Hasse principle

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