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

2017/12/16 by Robert Laterveer, Laterveer, Robert
Mathematics · #14C15 #14C25 #14C30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1712.05981

openalex publication_date 2017/12/16 · openalex created_date 2020/01/10 · openalex updated_date 2026/07/28

Abstract

Let X be a hyperkähler variety, and assume X has a non-symplectic automorphism σ of order >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 special cubic fourfolds having an order 3 non--symplectic automorphism.

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