Artin t-Motifs

Mathematics – Number Theory

Scientific paper

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To appear in Journal of Number Theory

Scientific paper

10.1016/j.jnt.2008.08.002

We show that analytically trivial t-motifs satisfy a Tannakian duality,
without restrictions on the base field, save for that it be of generic
characteristic. We show that the group of components of the t-motivic Galois
group coincides with the absolute Galois group of the base field.

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