On vanishing of unramified cohomology of geometrically rational varieties over finite fields

2011/10/31 by Nguyen Le Dang Thi, Thi, Nguyen Le Dang
Mathematics · #14C25 #14F20 #19E15 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C25 #msc:14F20 #msc:19E15

paper · pdf · doi:10.48550/arxiv.1110.6773

6 pages, final version

arxiv created 2011/11/04 · arxiv updated 2011/11/07

Abstract

The purpose of this paper is to show that the third unramified cohomology with divisible coefficients of a smooth projective geometrically rational threefold over a finite field must vanish under \Z_ℓ-exactness Hard Lefschetz condition.

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