Semisimplicity of the Galois representations attached to Drinfeld modules over fields of ``finite characteristics

DOI10.1215/S0012-7094-91-06225-3zbMath0739.14029MaRDI QIDQ1814233

Yuichiro Taguchi

Publication date: 25 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Drinfeld modulesisogeniesTate modulesmodular height

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Isogeny (14K02) Formal groups, (p)-divisible groups (14L05)

Related Items (9)

The Galois representations associated to a Drinfeld module in special characteristic. I: Zariski density ⋮ The Galois representations associated to a Drinfeld module in special characteristic. III: Image of the group ring ⋮ Computing endomorphism rings and Frobenius matrices of Drinfeld modules ⋮ The isogeny conjecture for \(A\)-motives ⋮ The semisimplicity conjecture for A-motives ⋮ The isogeny conjecture for \(t\)-motives associated to direct sums of Drinfeld modules ⋮ Image of the group ring of the Galois representation associated to Drinfeld modules ⋮ Finding endomorphisms of Drinfeld modules ⋮ Finiteness of an isogeny class of Drinfeld modules -- correction to a previous paper

Cites Work

• Endomorphisms of Abelian varieties over finite fields
• ELLIPTIC MODULES
• ENDOMORPHISMS OF ABELIAN VARIETIES OVER FIELDS OF FINITE CHARACTERISTIC
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