2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76878It is proved that the chordal variety of the Veronese variety v_d(P^n) is projectively normal, arithmetically Cohen-Macaulay and its homogeneous ideal is generated by the 3 x 3 minors of two catalecticant matrices. These results are generalized to the catalecticant varieties Gor_{\leq}(T) with t_1 = 2. We also give a simplified proof of a theorem of O. Porras about the rank varieties of symmetric tensors.17 pages, Latex2eAlgebraic GeometryCommutative Algebra14M12 (Primary); 13C40, 15A69 (Secondary)text