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

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

2002-10-16

arxiv.org/abs/math/0210251v1

J. Pure Appl. Algebra, 167 (2002), 203-224

Mathematics

Commutative Algebra

Scientific paper

We 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.

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