On the Arithmetic of Del Pezzo Surfaces of Degree 2

By Andrew Kresch, Yuri Tschinkel. 2004

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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. 2000 Mathematics Subject Classification 14G05 (primary), 12G05 (secondary).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0782e983f96ba21ed262ba0f789e07c32f125e43