2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74817We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, such a polynomial behaves both topologically and algebraically (e.g. in terms of the variation of MHS on the cohomology of its smooth fibers), like a homogeneous polynomial.This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411329. Both the topology and the associated mixed Hodge structures (not touched in the previous paper) are clearly describedAlgebraic GeometryAlgebraic Topology32S20, 32S22, 32S35, 14D05, 14J70text