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On the arithmetic of del Pezzo surfaces of degree 2

Andrew Kresch·Yuri Tschinkel
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Abstract

We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer group.

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Andrew Kresch, Yuri Tschinkel. 2004-02-23. On the arithmetic of del Pezzo surfaces of degree 2. https://arxiv.org/abs/math/0402373

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