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On the Rees algebra of certain codimension two perfect ideals

Ha Huy Tai
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Abstract

Let X be a set of smooth points in P^2, and I = \oplus_{t >= d} I_t the defining ideal of X. In this paper, we give a set of defining equations for the Rees algebra R(I_{d+1}) of the ideal generated by I_{d+1}. This study give information to completely answer questions on the defining ideals of projective embeddings of the blowup of P^2 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(I_t) of the ideal generated by I_t, as t gets large.

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Ha Huy Tai. 2001-03-14. On the Rees algebra of certain codimension two perfect ideals. https://arxiv.org/abs/math/0103087

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