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I am looking for

varieties without $\mathbf{Q}$-rational points where the absence can be explained by the Brauer-Manin obstruction, but not by the absence of adelic points
varieties without $\mathbf{Q}$-rational points where the absence cannot be explained by the Brauer-Manin obstruction

Thank you in advance!

flag	asked Jan 3 2012 at 17:13 Timo Keller 2,837●4●17

Felipe Voloch · Accepted Answer · 2012-01-03 17:52:21Z UTC

11

Everything you want (and a whole lot more) is here: A. N. Skorobogatov, Torsors and rational points. Cambridge Tracts in Mathematics, 144. Cambridge University Press, 2001.

answered Jan 3 2012 at 17:52

Felipe Voloch
16.7k●2●36●61

Thank you very much! – Timo Keller Jan 6 2012 at 18:32

Brauer-Manin obstruction and Hasse principle

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