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<p>A strong version of the Beauville–Voisin conjecture asserts that for hyper-Kähler 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.</p>

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A strong version of the Beauville–Voisin conjecture for certain hyper-Kähler fourfolds

  • 期刊论文

  • 发表日期：

    2026年6月25日

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  • Robert Laterveer

摘要

A strong version of the Beauville–Voisin conjecture asserts that for hyper-Kähler 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.