Work

On the torsion in the Chow motive of an Enriques surface

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.04360

Authors: Huryn, Jake, Newman, William C.

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: RTG: Arithmetic, Combinatorics, and Topology of Algebraic Varieties

OpenAlex ID: W7211908500

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