The semisimplicity conjecture for A-motives

DOI10.1112/S0010437X09004448zbMath1206.11073arXiv0809.0224WikidataQ123365307 ScholiaQ123365307MaRDI QIDQ3567430

Nicolas Stalder

Publication date: 17 June 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.0224

zbMATH Keywords

Galois representationmonodromy groupsemisimple\(A\)-motive\(t\)-motivesemilinear algebra

Mathematics Subject Classification ID

Galois representations (11F80) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (2)

The isogeny conjecture for \(A\)-motives ⋮ The Sato-Tate law for Drinfeld modules

Cites Work

• Semi-simplicity of the Galois representations attached to Drinfeld modules over fields of ``infinite characteristics
• Finiteness theorems for abelian varieties over number fields.
• \(t\)-motives
• Abelian varieties in characteristic p
• Semisimplicity of the Galois representations attached to Drinfeld modules over fields of ``finite characteristics
• On \(\varphi\)-modules
• Artin \(t\)-motifs
• The isogeny conjecture for \(t\)-motives associated to direct sums of Drinfeld modules

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