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The elementary obstruction and the Weil restriction

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Abstract

In this text we investigate the good behaviour of the elementary obstruction, introduced by Colliot-Thélène and Sansuc (Duke Math J 54:375–492, 1987). 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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Authors and Affiliations

  1. Departement Wiskunde, K.U.Leuven, Celestijnenlaan 200B bus 2400, 3001, Heverlee, Belgium

    Tim Wouters

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  1. Tim Wouters
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Correspondence to Tim Wouters.

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Dedicated to the memory of Joost van Hamel, for all trouble he took to support this article with discussions, comments and suggestions at all times, also in moments when it is not obvious that one keeps on focusing on mathematics.

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Wouters, T. The elementary obstruction and the Weil restriction. manuscripta math. 128, 137–146 (2009). https://doi.org/10.1007/s00229-008-0219-2

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  • DOI: https://doi.org/10.1007/s00229-008-0219-2

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