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