Algebraic cycles on certain hyperkaehler fourfolds with an order 3 non-symplectic automorphism II

2018/02/20 by Robert Laterveer, Laterveer, Robert
Mathematics · #14C15 #14C25 #14C30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1802.07030

openalex publication_date 2018/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a hyperkähler variety, and assume that X admits a non-symplectic automorphism σ of order k>1\over 2dim X. Bloch's conjecture predicts that the quotient X/ should have trivial Chow group of 0-cycles. We verify this for Fano varieties of lines on certain cubic fourfolds having an order 3 non-symplectic automorphism.

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