Sur le groupe de Chow de codimension deux des vari\'et\'es sur les corps finis
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 Fp with an algebraic closure Fp and the absolute Galois group G, such that the group H3nr(X, Z/2) is nonzero and the map CH2(X) CH2( X)G is not surjective.
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