We show that there are smooth complex projective varieties with infinite -torsion in their third Griffiths groups. It follows that the torsion subgroup of Griffiths groups is in general not finitely generated, thereby solving a problem of Schoen from 1992.
Cite this article
Stefan Schreieder, Infinite torsion in Griffiths groups. J. Eur. Math. Soc. (2024), pp. 1–31DOI 10.4171/JEMS/1419