The effective bounded height conjecture for maximal torsion anomalous points

Let $G$ be a group variety and let $V\subset G$ be irreducible. A maximal $V$-torsion anomalous point is a point that is a maximal $V$-torsion anomalous variety under the terminology of the paper. Effective bounded height conjecture. The maximal $V$-torsion anomalous points have effectively bounded height. An effective version would imply the effective intersection conjecture by the method described in the paper. The conjecture is known in some special cases, but remains open in general.