2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149876We describe the intersection complex of any perversity of a toric variety completely in terms of the associated fan. It is described by a finite complex of finite dimensional graded vector spaces which we call graded exterior modules. The intersection complexes of the middle perversity are treated in the second part following this article.59 pages, latexAlgebraic GeometryTorus embeddings and algebraic intersection complexestext