The Griffiths group of a general Calabi-Yau threefold is not finitely generated (Q1975649)

The author studies the properties of the generalised Abel-Jacobi map introduced by \textit{P. A. Griffiths} [Am. J. Math. 90, 568-626 (1968; Zbl 0169.52303)] for Kähler varieties. The main result is that the image of the Abel-Jacobi map for a general deformation \(X_t\) of a Calabi-Yau threefold \(X\) with \(h^1(T_X) \neq 0\) is an infinite-dimensional \(\mathbb{Q}\)-vector space (after tensoring with rationals). This extends a theorem proved by the author in a previous paper and gives the result stated in the title as a corollary.