On the arithmetic of del Pezzo surfaces of degree 2
Andrew Kresch, Yuri Tschinkel
Abstract
Andrew Kresch, Yuri Tschinkel
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. 2000 Mathematics Subject Classification 14G05 (primary), 12G05 (secondary).
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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).
Key concepts: Mathematics, Brauer group, Hasse principle, Degree (music), Mathematics Subject Classification, Pure mathematics, Torsion (gastropod), Arithmetic