On the Rees algebra of certain codimension two perfect ideals
Abstract
Let X be a set of smooth points in P2, and I = t >= d It the defining ideal of X. In this paper, we give a set of defining equations for the Rees algebra R(Id+1) of the ideal generated by Id+1. This study give information to completely answer questions on the defining ideals of projective embeddings of the blowup of P2 along the points in X, which has been studied by many authors. In this paper, we also study the asymptotic behaviour of the Rees algebras R(It) of the ideal generated by It, as t gets large.
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