Sur le groupe de Chow de codimension deux des vari\'et\'es sur les corps finis
Algebraic Geometry
2010-05-17 v2 Number Theory
Abstract
Using the construction of Colliot-Th\'el\`ene and Ojanguren, we exhibit an example of a smooth projective geometrically rational variety X defined over a finite field F_p with an algebraic closure \bar F_p and the absolute Galois group G, such that the group H^3_nr(X, Z/2) is nonzero and the map CH^2(X)\to CH^2(\bar X)^G is not surjective.
Keywords
Cite
@article{arxiv.1004.1897,
title = {Sur le groupe de Chow de codimension deux des vari\'et\'es sur les corps finis},
author = {Alena Pirutka},
journal= {arXiv preprint arXiv:1004.1897},
year = {2010}
}
Comments
15 pages, arguments in the section 2 are simplified