The elementary obstruction and the Weil restriction

Details The elementary obstruction and the Weil restriction The elementary obstruction and the Weil restriction

2007-12-20

arxiv.org/abs/0712.3449v2

Manuscripta Math., 128 (2), 2009, pp. 137-146

Mathematics

Algebraic Geometry

9 pages, revised version for publication

Scientific paper

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.

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