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arxiv: math/0402373 · v1 · submitted 2004-02-23 · 🧮 math.AG · math.NT

On the arithmetic of del Pezzo surfaces of degree 2

classification 🧮 math.AG math.NT
keywords arithmeticdegreepezzosurfacesbrauerbrauer-manincertaincoming
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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.

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