Comptes Rendus
Algebraic Geometry
A twisted theorem of Chebotarev
Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 385-388.

The classical function field version of Chebotarev's Theorem follows from the Lang–Weil estimate and an ‘untwisting’ trick. We obtain an analogue in the framework of difference schemes, using Hrushovski's twisted Lang–Weil estimate.

La version classique du Théorème de Chebotarev pour les corps de fonctions se déduit de l'estimation de Lang–Weil et un astuce de « détordage ». On obtient un analogue dans le cadre des schémas aux différences, en utilisant l'estimation de Lang–Weil tordue de Hrushovski.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.02.015
Ivan Tomašić 1

1 School of Mathematics, Queen Mary University of London, London E1 4NS, UK
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Ivan Tomašić. A twisted theorem of Chebotarev. Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 385-388. doi : 10.1016/j.crma.2009.02.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.02.015/

[1] E. Hrushovski, The elementary theory of the Frobenius automorphism, preprint, 2004

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