Geodesic
Note on the counterexamples for the integral Tate conjecture over finite fields
Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 501-511.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We discuss some examples of non-torsion and non-algebraic cohomology classes for varieties over finite fields. The approach follows the construction of M. F. Atiyah and F. Hirzebruch [Topology 1, 25--45 (1962; Zbl 0108.36401)] and B. Totaro [J. Am. Math. Soc. 10, No. 2, 467--493 (1997; Zbl 0989.14001)].
Classification : 14C15, 14L30, 55R35
Keywords: Chow groups, classifying spaces, cohomology operations, integral Tate conjecture 
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     title = {Note on the counterexamples for the integral {Tate} conjecture over finite fields},
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Pirutka, Alena; Yagita, Nobuaki. Note on the counterexamples for the integral Tate conjecture over finite fields. Documenta mathematica, Alexander S. Merkurjev's Sixtieth Birthday (2015), pp. 501-511. http://geodesic.mathdoc.fr/item/DOCMA_2015__S2__a3/