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arXiv 2609.04360math.AG

Enriques曲面的Chow动机中的挠元

On the torsion in the Chow motive of an Enriques surface

  • The Ohio State University(俄亥俄州立大学)

机构由 AI 辅助整理,请以论文原文为准。

Jake Huryn, William C. Newman

AI总结:

本文研究Enriques曲面Chow动机的挠直和项𝔱(S)的同构与自同态,相关问题与两Enriques曲面乘积的整系数Hodge猜想紧密关联。

AI中文摘要:

Enriques曲面S的整系数Chow动机由一个挠直和项𝔱(S)确定,该直和项贡献S上同调中的挠元。我们研究形如𝔱(S)的动机之间的同构与自同态,这与两个Enriques曲面乘积的整系数Hodge猜想密切相关。

英文摘要:

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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