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arXiv:1207.4703 [math.NT]AbstractReferencesReviewsResources

On the Chow groups of certain geometrically rational 5-folds

Ambrus Pal

Published 2012-07-19, updated 2014-02-05Version 3

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.

Comments: Small changes. To appear in Journal of Number Theory
Categories: math.NT
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