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