The Tate conjecture for certain abelian varieties over finite fields

DOI10.4064/aa100-2-3zbMath1047.11057arXivmath/9911218OpenAlexW2592900284WikidataQ123144944 ScholiaQ123144944MaRDI QIDQ2773285

James S. Milne

Publication date: 21 February 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911218

zbMATH Keywords

Tate conjectureexotic Tate cycles

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22)

Related Items

The Tate conjecture for powers of ordinary cubic fourfolds over finite fields ⋮ Lefschetz classes of simple factors of the Jacobian variety of a Fermat curve of prime degree over finite fields ⋮ Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini ⋮ On certain complex projective manifolds with Hodge numbers \(h^{10}=4\) and \(h^{20}=5\) ⋮ Remark on nondegeneracy of simple abelian varieties with many endomorphisms