Intersections of translated algebraic subtori
  We exploit the classical correspondence between finitely generated abelian groups and abelian complex algebraic reductive groups to study the intersection theory of translated subgroups in an abelian complex algebraic reductive group, with special emphasis on intersections of (torsion) translated subtori in an algebraic torus. 
Alexander I. Suciu, Yaping Yang, Gufang Zhao
math.GR