JournalsjemsVol. 27, No. 6pp. 2571–2601

Infinite torsion in Griffiths groups

  • Stefan Schreieder

    Leibniz Universität Hannover, Hannover, Germany
Infinite torsion in Griffiths groups cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

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. 27 (2025), no. 6, pp. 2571–2601

DOI 10.4171/JEMS/1419