We give an algebraic description of definable sets over fields with Frobenius in terms of twisted Galois formulae.
On donne une description algébrique des ensembles définissables au dessus des corps avec Frobenius en termes de formules galoisiennes tordues.
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Ivan Tomašić 1
@article{CRMATH_2011__349_15-16_827_0, author = {Ivan Toma\v{s}i\'c}, title = {Twisted {Galois} stratification}, journal = {Comptes Rendus. Math\'ematique}, pages = {827--830}, publisher = {Elsevier}, volume = {349}, number = {15-16}, year = {2011}, doi = {10.1016/j.crma.2011.07.018}, language = {en}, }
Ivan Tomašić. Twisted Galois stratification. Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 827-830. doi : 10.1016/j.crma.2011.07.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.07.018/
[1] Finitely generated pathological extensions of difference fields, Trans. AMS, Volume 102 (1962)
[2] Field Arithmetic, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 11, Springer-Verlag, Berlin, 1986
[3] E. Hrushovski, The elementary theory of the Frobenius automorphisms, preprint, 2004.
[4] A twisted theorem of Chebotarev, C. R. Acad. Sci. Paris, Ser. I, Volume 347 (2009), pp. 385-388
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