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In this note we discuss some examples of non torsion and non algebraic cohomology classes for varieties over finite fields.
M. F. Atiyah, F. Hirzebruch, Analytic cycles on complex manifolds
1962
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D. Mumford, Geometric invariant theory
1965
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J. Tate, Algebraic cycles and poles of zeta functions
1965
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C.S. Seshadri, Geometric reductivity over arbitrary base
1977
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M. Goresky and R. MacPherson, Stratified Morse theory
1988
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J. Kollár, In Trento examples
1990
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R. L. Griess, Elementary abelian p p -subgroups of algebraic groups
1991
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R. Kane and D. Nothbohn, Elementary abelian p p -subgroups of Lie groups
1991
Cited alongside, same era.
M. Mimura and H. Toda, Topology of Lie groups
1991
Cited alongside, same era.
B. Totaro, Torsion algebraic cycles and complex cobordism
1997
Cited alongside, same era.
Ch. Schoen, An integral analog of the Tate conjecture for one-dimensional cycles on varieties over finite fields
1998
Cited alongside, same era.
F.Morel and V.Voevodsky, 𝔸 1 \mathbb{A}^{1} -homotopy theory of schemes , Publ.Math. IHES, 90
1999
Cited alongside, same era.
B. Totaro, The Chow ring of a classifying space
1999
Cited alongside, same era.
J.-L. Colliot-Thélène et J.-J. Sansuc, The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group)
2007
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J. S. Milne, The Tate conjecture over finite fields (AIM talk)
2007
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J.-L. Colliot-Thélène et T. Szamuely, Autour de la conjecture de Tate à coefficients ℤ ℓ \mathbb{Z}_{\ell} sur les corps finis
2010
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M. Kameko and N. Yagita, Chern subrings
2010
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2011
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V.Voevodsky, Reduced power operations in motivic cohomology
2003
Cited alongside, same era.
T. Ekedahl, Approximating classifying spaces by smooth projective varieties
Cited in the paper.
B. Kahn et T.-K.-Ngan Nguyen, Modules de cycles et classes non ramifiées sur un espace classifiant
Cited in the paper.
M. Kameko, M. Tezuka and N. Yagita, Coniveau spectral sequences of classifying spaces for exceptional and Spin groups
2012
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J. Riou, Opérations de Steenrod motiviques
2012
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