2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121940We find generators for the ideals of secant varieties of Segre varieties in several the cases including the Garcia-Stillmann-Ssturmfels conjecture for four factors and prove results about their singularities.12 pages, exposition significantly improvedAlgebraic GeometryCommutative Algebra14Q15,15A69,13B99On the ideals and singularities of secant varieties of Segre varietiestext