Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4
arXiv:2102.08798 · doi:10.1016/j.jnt.2021.07.030
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.
17 pages. arXiv admin note: substantial text overlap with arXiv:2002.11539