Note on the counterexamples for the integral Tate conjecture over finite fields (Q273878)
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scientific article; zbMATH DE number 6572407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the counterexamples for the integral Tate conjecture over finite fields |
scientific article; zbMATH DE number 6572407 |
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Note on the counterexamples for the integral Tate conjecture over finite fields (English)
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22 April 2016
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Summary: We discuss some examples of non-torsion and non-algebraic cohomology classes for varieties over finite fields. The approach follows the construction of \textit{M. F. Atiyah} and \textit{F. Hirzebruch} [Topology 1, 25--45 (1962; Zbl 0108.36401)] and \textit{B. Totaro} [J. Am. Math. Soc. 10, No. 2, 467--493 (1997; Zbl 0989.14001)].
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Chow groups
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classifying spaces
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cohomology operations
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integral Tate conjecture
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