The Brauer-Manin obstruction on a general diagonal quartic surface

Details The Brauer-Manin obstruction on a general diagonal quartic surface The Brauer-Manin obstruction on a general diagonal quartic surface

2010-08-05

arxiv.org/abs/1008.0999v2

Acta Arithmetica 147 (2011), no. 3, 291-302

Mathematics

Number Theory

9 pages; added a counterexample

Scientific paper

We prove that, on a sufficiently general diagonal quartic surface, there is a
non-trivial Brauer group but no Brauer-Manin obstruction to the existence of
rational points.

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