Pathologies of the Brauer-Manin obstruction

20 Sep 2015  ·  Colliot-Thélène Jean-Louis, Pál Ambrus, Skorobogatov Alexei N. ·

We construct a conic bundle over an elliptic curve over a real quadratic field that is a counterexample to the Hasse principle not explained by the \'etale Brauer-Manin obstruction. We also give simple examples of threefolds with the same property that are families of 2-dimensional quadrics, and discuss some other examples and general properties of the Brauer-Manin obstruction...

PDF Abstract
No code implementations yet. Submit your code now

Categories


Algebraic Geometry Number Theory