2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150307We prove that the intersection homology Poincare' polynomial P(X) of an affine toric variety X is bounded below by the product P(Y)P(X/Y), where Y is the closure of any orbit in X and X/Y is a slice transverse to the orbit. This proves a combinatorial conjecture of Kalai for rational polytopes.16 pages, 1 figure AMSLaTeXAlgebraic Geometry14F32 (primary) 52B05 (secondary)text