2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60343Through the study of Morse theory on the associated Milnor fiber, we show that complex hyperplane arrangement complements are minimal. That is, the complement of a complex hyperplane arrangement has the homotopy type of a CW complex in which the number of p-cells equals the p-th betti number.8 pages, correction, added example, title change from "Morse theory, Milnor fibers and hyperplane arrangementsAlgebraic TopologyAlgebraic Geometry52C35, 55Q52 (Primary) 14M12 (Secondary)Morse theory, Milnor fibers and minimality of hyperplane arrangementstext