On Rees algebras of linearly presented ideals

JOURNAL OF ALGEBRA

卷:420

Article

Lan, Nguyen P. H.

关键词: Cohen-Macaulay ring;    Jacobian dual;    Symmetric algebra;    Rees algebra;   

DOI  :  10.1016/j.jalgebra.2014.08.019

来源: Elsevier

【 摘 要 】

Let I be a height two perfect ideal with a linear presentation matrix in a polynomial ring R = k[x(1),..., x(d)]. Assume that, mu(I) = d + 1 and I satisfies the Artin-Nagata condition G(d-1). We determine the defining ideal of the Rees algebra R(I) explicitly and we show that R(I) is Cohen-Macaulay. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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