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arxiv: 1008.0999 · v2 · pith:JN5WXXZSnew · submitted 2010-08-05 · 🧮 math.NT · math.AG

The Brauer-Manin obstruction on a general diagonal quartic surface

classification 🧮 math.NT math.AG
keywords brauer-manindiagonalgeneralobstructionquarticsurfacebrauerexistence
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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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