2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107487We introduce a notion of tangential Alexander polynomials for plane curves and study the relation with $θ$^Alexander polynomial. As an application, we use these polynomials to study a non-reduced degeneration $C_t \to D_0+jL$. We show that there exists a certain surjectivity of the fundamental groups and divisibility among their Alexander polynomials.8 figures written by .epsAlgebraic Geometry14H30,14H45,32S55Tangential Alexander polynomials and non-reduced degenerationtext