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

authored by

Vladimir Mitankin, Cecília Salgado

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

University of Groningen
Universidade Federal do Rio de Janeiro

Type

Article

Journal

Journal of Number Theory

Volume

236

Pages

463-478

No. of pages

16

ISSN

0022-314X

Publication date

07.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://doi.org/10.48550/arXiv.2102.08798 (Access: Open)
https://doi.org/10.1016/j.jnt.2021.07.030 (Access: Closed)