2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155512Let \X be an affine toric variety under a torus \T and let T be a subtorus. The general T-orbit closures in \X and their flat limits are parametrized by the main component H_0 of the toric Hilbert scheme. Further, the quotient torus \T/T acts on H_0 with a dense orbit. We describe the fan of this toric variety; this leads us to an integral analogue of the fiber polytope of Billera and Sturmfels. We also describe the relation of H_0 to the main component of the inverse limit of GIT quotients of \X by T.18 pagesAlgebraic GeometryRepresentation Theory14C05 (Primary); 52B20, 14M25 (Secondary)text