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

Authors:
Mark R. Johnson and K. N. Raghavan

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1991-1994

MSC:
Primary 13A30; Secondary 13F50, 13H10

DOI:
https://doi.org/10.1090/S0002-9939-1995-1264817-4

MathSciNet review:
1264817

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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 of the Rees algebra is Cohen-Macaulay. In particular we obtain the Cohen-Macaulayness of the blow-up ring .

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1264817-4

Article copyright:
© Copyright 1995
American Mathematical Society