On the Chow groups of certain geometrically rational 5-folds
Number Theory
2014-02-06 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1207.4703,
title = {On the Chow groups of certain geometrically rational 5-folds},
author = {Ambrus Pal},
journal= {arXiv preprint arXiv:1207.4703},
year = {2014}
}
Comments
Small changes. To appear in Journal of Number Theory