Algebraic cycles and Lehn-Lehn-Sorger-van Straten eightfolds

2021/09/10 by Laterveer, Robert
#14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.04942

Abstract

This article is about Lehn-Lehn-Sorger-van Straten eightfolds Z, and their anti-symplectic involution ι. When Z is birational to the Hilbert scheme of points on a K3 surface, we give an explicit formula for the action of ι on the Chow group of 0-cycles of Z. The formula is in agreement with the Bloch-Beilinson conjectures, and has some non-trivial consequences for the Chow ring of the quotient.

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