2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79201The method of Lagrange multipliers relates the critical points of a given function f to the critical points of an auxiliary function F. We establish a cohomological relationship between f and F and use it, in conjunction with the Eagon-Northcott complex, to compute the sum of the Milnor numbers of the critical points in certain situations.15 pagesAlgebraic Geometrytext