Abstract.
Let X be an algebraic variety defined over a number field. We compare miscellaneous (abelian and non-abelian) cohomological obstructions to the Hasse principle and weak approximation for X to the Manin obstruction.
Résumé.
Soit X une variété algébrique définie sur un corps de nombres. Nous comparons diverses obstructions cohomologiques (abéliennes et non-abéliennes) au principe de Hasse et à l'approximation faible sur Xà l'obstruction de Manin.
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Received: 14 March 2001 / Revised version: 9 July 2001 / Published online: 28 February 2002
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Harari, D. Groupes algébriques et points rationnels. Math Ann 322, 811–826 (2002). https://doi.org/10.1007/s002080100289
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DOI: https://doi.org/10.1007/s002080100289