2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62585We develop a formula (Theorem 5.1) which allows to compute top Chern classes of vector bundles on the vanishing locus $V(s)$ of a section of this bundle. This formula particularly applies in the case when $V(s)$ is the union of locally complete intersections giving the individual contribution of each component and their mutual intersections. We conclude with applications to the enumeration of rational curves in complete intersections in projective space.9 pagesAlgebraic Geometry14C17; 14N10Residual intersection theory with reducible schemestext