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

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

2011-10-31

arxiv.org/abs/1110.6773v4

Mathematics

Algebraic Geometry

6 pages, final version

Scientific paper

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 $\Z_{\ell}$-exactness Hard
Lefschetz condition.

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