Rational points on del Pezzo surfaces of degree four

authored by

Vladimir Mitankin, Cecília Salgado

Abstract

We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to the Hasse principle and weak approximation in a family of smooth del Pezzo surfaces of degree four over the rationals.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Universidade Federal do Rio de Janeiro

Type

Article

Journal

International Journal of Number Theory

Volume

18

Pages

2099-2127

No. of pages

29

ISSN

1793-0421

Publication date

01.10.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://arxiv.org/abs/2002.11539 (Access: Open)
https://doi.org/10.1142/S179304212250107X (Access: Closed)