2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76903Let X be a smooth, connected, closed subvariety of a complex vector space V. The asymptotic cone as(X) is naturally equipped with a nearby cycles sheaf P coming from the specialization of X to as(X). We show that if X is transverse to infinity in a suitable sense, then the Fourier transform of P is an intersection homology sheaf.17 pages, 2 figures, AMSLaTeX. At the moment, there is some overlap between this paper and math.AG/9802042Algebraic GeometryAlgebraic Topology14D05text