Artin t-Motifs

Abstract

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.

To appear in Journal of Number Theory

Cited by in corpus (10)

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• Hyperderivatives of periods and quasi-periods for Anderson $t$-modules
• Duality of Anderson T-motives
• Rapoport-Zink Spaces For Local P-Shtukas and Their Local Models
• Category Of C-Motives Over Finite Fields
• A Difference Version of Nori's Theorem
• The Semisimplicity Conjecture for A-Motives
• Special values of Goss $L$-series attached to Drinfeld modules of rank 2
• Tate modules of isocrystals and good reduction of Drinfeld modules
• On the transcendence of special values of Goss $L$-functions attached to Drinfeld modules