On the Chow groups of certain geometrically rational 5-foldsReport as inadecuate



 On the Chow groups of certain geometrically rational 5-folds


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We give an explicit regular model for the quadric fibration studied in Pirutka 2011. As an application we show that this construction furnishes a counterexample for the integral Tate conjecture in any odd characteristic for some sufficiently large finite field. We study the etale cohomology of this regular model, and as a consequence we derive that these counterexamples are not torsion.



Author: Ambrus Pal

Source: https://archive.org/




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