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arXiv · 1712.04745

On the algebraic Brauer classes on open degree four del Pezzo surfaces

Jörg Jahnel·Damaris Schindler
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Abstract

We study the algebraic Brauer classes on open del Pezzo surfaces of degree $4$. I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of degree $4$. We show that the $2$-torsion part is generated by classes of two different types. Moreover, there are two types of $4$-torsion classes. For each type, we discuss methods for the evaluation of such a class at a rational point over a $p$-adic field.

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Jörg Jahnel, Damaris Schindler. 2017-12-13. On the algebraic Brauer classes on open degree four del Pezzo surfaces. https://arxiv.org/abs/1712.04745

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