Cohen-Macaulayness of blow-ups of homogeneous weak d-sequences

Johnson, Mark R. ; Raghavan, K. N. (1995) Cohen-Macaulayness of blow-ups of homogeneous weak d-sequences Proceedings of the American Mathematical Society, 123 (7). pp. 1991-1994. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1995-123-07/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-1995-1264817-4

Abstract

Let R be a homogeneous Cohen-Macaulay algebra over a field, and let I be an ideal generated by a homogeneous weak d-sequence. We show, under reasonable conditions on the sequence, that the graded ring gr R[It] of the Rees algebra R[It]=⊕I is Cohen-Macaulay. In particular we obtain the Cohen-Macaulayness of the blow-up ring R[It].

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:70369
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