Non-openness of v-adic Galois representation for A-motives

DOI10.1142/S1793042121500032zbMath1480.11074arXiv1910.03037MaRDI QIDQ5857373

Maike Ella Elisabeth Frantzen

Publication date: 1 April 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03037

zbMATH Keywords

Galois representations\(A\)-motivesTannakian categorieslocal shtukaTate modules of local shtukas

Mathematics Subject Classification ID

Galois theory (11S20) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Torsion points of Drinfeld modules over large algebraic extensions of finitely generated function fields, Anderson 𝑡-modules with thin 𝑡-adic Galois representations

Uses Software

• MathOverflow

Cites Work

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• \(t\)-motives
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• Pink's theory of Hodge structures and the Hodge conjecture over function fields
• Local shtukas, Hodge-Pink structures and Galois representations
• Tensor Categories
• 𝐿-functions of 𝜑-sheaves and Drinfeld modules