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arXiv · 2102.08798

Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4

Vladimir Mitankin·Cecília Salgado
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Abstract

We consider a family of smooth del Pezzo surfaces of degree four and study the geometry and arithmetic of a genus one fibration with two reducible fibres for which a Brauer element is vertical.

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Vladimir Mitankin, Cecília Salgado. 2021-02-17. Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4. https://doi.org/10.1016/j.jnt.2021.07.030

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