Motives over F_p

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In April, 2006, Kontsevich asked me whether the category of motives over F_p (p prime) has a fibre functor over a number field of finite degree since he had a conjecture that more-or-less implied this. This article is my response. Unfortunately, since the results are generally negative or inconclusive, they are of little interest except perhaps for the question they raise on the existence of a cyclic extension of Q having certain properties.

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Algebraic Geometry, Number Theory, 14G99, 11G99

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http://salesiana.dossiersoluciones.com/handle/123456789/115086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607569
 http://arxiv.org/abs/math/0607569

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arXiv