### Torsion algebraic cycles and étale cobordism, by Gereon Quick

We prove that the classical integral cycle class map from algebraic cycles to
étale cohomology factors through a quotient of l-adic étale cobordism
over an algebraically closed field of positive characteristic. This shows that
there is a strong topological obstruction for cohomology classes to be
algebraic and that examples of Atiyah, Hirzebruch and Totaro also work in
positive characteristic.

Gereon Quick <gquick@math.uni-muenster.de>