A twisted theorem of Chebotarev

Ivan Tomašić

doi:10.1016/j.crma.2009.02.015

Algebraic Geometry

A twisted theorem of Chebotarev

Presented by: Jean-Pierre Serre

Ivan Tomašić ¹

¹ School of Mathematics, Queen Mary University of London, London E1 4NS, UK

Comptes Rendus. Mathématique, Volume 347 (2009) no. 7-8, pp. 385-388.

Abstract
Résumé

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: 2008-04-08
Accepted: 2009-02-04
Published online: 2009-03-05

DOI: 10.1016/j.crma.2009.02.015

Author's affiliations:

Ivan Tomašić ¹

¹ School of Mathematics, Queen Mary University of London, London E1 4NS, UK

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     author = {Ivan Toma\v{s}i\'c},
     title = {A twisted theorem of {Chebotarev}},
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     pages = {385--388},
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     number = {7-8},
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     doi = {10.1016/j.crma.2009.02.015},
     language = {en},
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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/

References
Cited by

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

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