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

2022/02/20 by Ruxuan Zhang, Zhang, Ruxuan
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.2202.09811

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 \CH₁ 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.

Related

• Double EPW sextics and the Voisin filtration on zero-cycles
• Algebraic cycles on a very special EPW sextic
• K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration
• Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces
• 0-cycles and sheaves on abelian surfaces