Intersections of translated algebraic subtori
arXiv:1109.1023 · doi:10.1016/j.jpaa.2012.06.025
Abstract
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.
20 pages; accepted for publication by the Journal of Pure and Applied Algebra