The revised relative Manin–Mumford conjecture for semi-abelian schemes

Let $\mathcal{G}\to S$ be a semi-abelian scheme over $\mathbb{C}$, and let $Z\subset\mathcal{G}$ be an irreducible closed subvariety of dimension $d$. Assume that $Z$ is not contained in a proper special subvariety of $\mathcal{G}$. Define $\mathcal{G}^{[>d]}$ fiberwise as the union of algebraic subgroups of codimension greater than $d$.

Revised relative unlikely-intersection conjecture. The intersection $Z\cap\mathcal{G}^{[>d]}$ is not Zariski dense in $Z$.

Here special subvarieties include the additional subvarieties, such as Ribet sections, identified through the mixed Shimura classification. The source presents this as the revised version of Pink's relative conjecture.