Fewnomials and Intersections of Lines with Real Analytic Subgroups in Gmn Academic Article uri icon


  • In this paper, the authors study intersections of a special class of curves with algebraic subgroups of the multiplicative group of complex dimension at least 2. They show how results of Khovanskii on fewnomials can be used to derive finiteness results and bounds for the degrees of algebraic points for such intersections from more general results on intersections of curves with non-algebraic subgroups. They thereby generalise their earlier results, and recover in some cases, using different methods, more uniform bounds than those given in related work of Bombieri, Masser and Zannier.

author list (cited authors)

  • Cohen, P. B., & Zannier, U.

citation count

  • 2

publication date

  • January 2002