Descent on toric fibrations
Number Theory
2013-12-31 v1
Abstract
We describe descent on families of torsors of a constant torus. A recent result of Browning and Matthiesen then implies that the Brauer--Manin obstruction controls the Hasse principle and weak approximation when the ground field is the field of rational numbers and the singular fibres are all defined over this field.
Keywords
Cite
@article{arxiv.1312.7539,
title = {Descent on toric fibrations},
author = {Alexei N. Skorobogatov},
journal= {arXiv preprint arXiv:1312.7539},
year = {2013}
}
Comments
12 pages