Torsion in Griffiths Groups

2023/03/07 by Theodosis Alexandrou, Alexandrou, Theodosis
Mathematics · #14C25 (Primary) 14J29 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2303.04083

openalex publication_date 2023/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that for any integer n≥2 there is a smooth complex projective variety X of dimension 5 whose third Griffiths group Griff³(X) contains infinitely many torsion elements of order n. This generalises a recent theorem of Schreieder who proved the result for n=2.

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