2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63367We give a general formula for the defect appearing in the Verdier-type Riemann-Roch formula for Chern-Schwartz-MacPherson classes in the case of a regular embedding. Our proof of this formula uses the constructible function version of Verdier's specialization functor, together with a specialization property of Chern-Schwartz-MacPherson classes and the corresponding Riemann-Roch theorem for smooth morphisms. As a very special case we get a formula for the Milnor-class of a local complete intersection in a smooth manifold, which in the case of a hypersurface gives back a result of Parusinski-Pragacz.23 pages, no figuresAlgebraic GeometryComplex Variables14C17, 14C40, 32S30, 57R20text