2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162382We give an explicit description of the terms and differentials of the Tate resolution of sheaves arising from Segre embeddings of $¶^a\times¶^b$. We prove that the maps in this Tate resolution are either coming from Sylvester-type maps, or from Bezout-type maps arising from the so-called toric Jacobian.21 pages, to appear in "Algebra and Number Theory"Algebraic GeometryCommutative Algebra13D02 (Primary), 14M25 (Secondary)text