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arXiv · 2202.09811

One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration

Ruxuan Zhang
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Abstract

We prove that the invariant locus of the involution associated to a general double EPW sextic is a constant surface and introduce a filtration on $\CH_1$ of a Gushel-Mukai fourfold. We verify the sheaf/cycle correspondence for sheaves supported on low degree rational curves, parallel to the cubic fourfolds case.

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Ruxuan Zhang. 2022-02-20. One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration. https://arxiv.org/abs/2202.09811

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