paper

On the arithmetic of del Pezzo surfaces of degree 2

arXiv:math/0402373

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.

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