Bounding the Number of Maximal Torsion Cosets on Subvarieties of   Algebraic Tori
  We obtain bounds on the number of maximal torsion cosets for algebraic subvarieties of n-tori, defined over the rationals, using model theoretic methods. 
Tristram de Piro, Chris Smyth, Iskander Aliev
math.LO math.NT