The set of abelian points on the non-anomalous subset of a closed irreducible subvariety X in a torus intersected with unions of connected algebraic subgroups of codimension at least dim X is finite under natural conditions, with generalizations to non-connected subgroups and to curves in arithmetic
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On abelian points of varieties intersecting subgroups in a torus
The set of abelian points on the non-anomalous subset of a closed irreducible subvariety X in a torus intersected with unions of connected algebraic subgroups of codimension at least dim X is finite under natural conditions, with generalizations to non-connected subgroups and to curves in arithmetic