Infinite torsion in Griffiths groups

2020/11/30 by Schreieder, Stefan
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #primary 14C25 #secondary 14J28

paper · doi:10.48550/arxiv.2011.15047

Abstract

We show that there are smooth complex projective varieties with infinite 2-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.

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