Genus one fibrations and vertical Brauer elements on del Pezzo surfaces of degree 4
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2021
- DOI:
- 10.48550/arXiv.2102.08798
- arXiv:
- arXiv:2102.08798
- Bibcode:
- 2021arXiv210208798M
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 14G05 (primary);
- 11G35;
- 11D09;
- 14D10 (secondary)
- E-Print:
- 17 pages. arXiv admin note: substantial text overlap with arXiv:2002.11539