Double EPW sextics and the Voisin filtration on zero-cycles

2024/10/05 by Bolognesi, Michele, Laterveer, Robert
#14C15 #14C25 #14J42 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.16289

Abstract

Let X be a double EPW sextic, and ι its anti-symplectic involution. We relate the ι-anti-invariant part of the Chow group of zero-cycles of X with Voisin's rational orbit filtration. For a general double EPW sextic X, we also relate the anti-invariant part of the Chow motive of X with the motive of a Gushel-Mukai fourfold. As an application, we obtain a similar result for certain Fano varieties of lines in cubics with infinite-order birational automorphisms.

Related

• Zero-cycles on double EPW sextics
• One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration
• Algebraic cycles on a very special EPW sextic
• The Chow ring of double EPW sextics
• On the Chow groups of certain EPW sextics