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arXiv · 2609.04360

On the torsion in the Chow motive of an Enriques surface

Jake Huryn·William C. Newman
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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.

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Jake Huryn, William C. Newman. 2026-09-03. On the torsion in the Chow motive of an Enriques surface. https://arxiv.org/abs/2609.04360

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