2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69301We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors and solve the conjecture set-theoretically for an arbitrary number of factors. We determine the low degree components of the ideals of secant varieties of small dimension in a few cases.19 pagesAlgebraic GeometryRepresentation Theorytext