The elementary obstruction and the Weil restriction
Algebraic Geometry
2009-03-31 v2 Number Theory
Abstract
In this text we investigate the good behaviour of the elementary obstruction, introduced by Colliot-Thelene and Sansuc. This is an obstruction to the existence of a rational points on certain algebraic varieties. Assuming some conditions on the Picard group, we prove that the elementary obstruction behaves well under the Weil restriction of a variety.
Cite
@article{arxiv.0712.3449,
title = {The elementary obstruction and the Weil restriction},
author = {Tim Wouters},
journal= {arXiv preprint arXiv:0712.3449},
year = {2009}
}
Comments
9 pages, revised version for publication