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arXiv · 2606.21969

A strong version of the Beauville-Voisin conjecture for certain hyper-K\"ahler fourfolds

Robert Laterveer
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Abstract

A strong version of the Beauville-Voisin conjecture asserts that for hyper-K\"ahler varieties, the subring of the Chow ring generated by divisors, Chern classes and Lagrangian constant cycle subvarieties should inject into cohomology. We verify this in codimension larger than two for Hilbert squares of K3 surfaces, for Fano varieties of lines in cubic fourfolds, and for double EPW sextics.

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Robert Laterveer. 2026-06-20. A strong version of the Beauville-Voisin conjecture for certain hyper-K\"ahler fourfolds. https://arxiv.org/abs/2606.21969

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