Torsion in Griffiths Groups

Abstract

We show that for any integer $n\ge 2$ there is a smooth complex projective variety $X$ of dimension $5$ whose third Griffiths group ${\text{Griff}}^3(X)$ contains infinitely many torsion elements of order $n$. This generalises a recent theorem of Schreieder who proved the result for $n=2$.

25 pages, to appear in Algebraic Geometry