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

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

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 fo...

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1. Verfasser: Zhang, Ruxuan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.2202.09811