2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65320We study the defining equations of projective embeddings of the blowup of P^2 at a set of {d+1 \choose 2} number of points in generic position. To do this, we first generalize the notion of a matrix, its ideal of 2x2 minors to that of a box-shaped matrix. Our work completes previous works of Geramita and Gimigliano.Commutative AlgebraAlgebraic Geometry13C40, 14J26, 14E25text