On the torsion in the Chow motive of an Enriques surface

Source abstract

The integral Chow motive of an Enriques surface $S$ is determined by a torsion summand $\mathfrak{t}(S)$, which contributes the torsion in the cohomology of $S$. We study isomorphisms between and endomorphisms of motives of the form $\mathfrak{t}(S)$. This is closely related to the integral Hodge conjecture for products of two Enriques surfaces.