2004Proceedings of the London Mathematical SocietyOpen access

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. 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).

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Available 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).

Key concepts: Mathematics, Brauer group, Hasse principle, Degree (music), Mathematics Subject Classification, Pure mathematics, Torsion (gastropod), Arithmetic

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