Box-shaped matrices and the defining ideal of certain blowup surfaces

Original · EN

We study the defining equations of projective embeddings of the blowup of P² at a set of d+1 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.