The Tate Conjecture for t-Motives

DOI10.2307/2161067zbMath0848.11027OpenAlexW4248932611WikidataQ123243880 ScholiaQ123243880MaRDI QIDQ4874176

Yuichiro Taguchi

Publication date: 28 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2161067

zbMATH Keywords

Tate conjecture for Drinfeld modulesglobal Frobenius equation

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (19)

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. II: Openness ⋮ The Galois representations associated to a Drinfeld module in special characteristic. III: Image of the group ring ⋮ Artin \(t\)-motifs ⋮ The Mumford-Tate conjecture for Drinfeld-modules ⋮ Adelic openness for Drinfeld modules in special characteristic ⋮ The isogeny conjecture for \(A\)-motives ⋮ Openness of the Galois image for \(\tau\)-modules of dimension 1. ⋮ Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms ⋮ Product formulas for periods of CM abelian varieties and the function field analog ⋮ Pure Anderson motives and abelian \(\tau\)-sheaves ⋮ The isogeny conjecture for \(t\)-motives associated to direct sums of Drinfeld modules ⋮ The Sato-Tate law for Drinfeld modules ⋮ Pure Anderson motives over finite fields ⋮ Image of the group ring of the Galois representation associated to Drinfeld modules ⋮ Adelic openness for Drinfeld modules in generic characteristic ⋮ Finding endomorphisms of Drinfeld modules ⋮ Finiteness of an isogeny class of Drinfeld modules -- correction to a previous paper ⋮ On the torsion points of Drinfeld modules in abelian extensions

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