On the arithmetic of del Pezzo surfaces of degree 2

Details On the arithmetic of del Pezzo surfaces of degree 2 On the arithmetic of del Pezzo surfaces of degree 2

2004-02-23

arxiv.org/abs/math/0402373v1

Mathematics

Algebraic Geometry

24 pages, to appear in Proc. London Math. Soc

Scientific paper

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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