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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Authors: Mark R. Johnson and K. N. Raghavan
Journal: Proc. Amer. Math. Soc. 123 (1995), 1991-1994
MSC: Primary 13A30; Secondary 13F50, 13H10
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 $ {\text{gr}_M}R[It]$ of the Rees algebra $ R[It] = { \oplus _{i \geq 0}}{I^i}$ is Cohen-Macaulay. In particular we obtain the Cohen-Macaulayness of the blow-up ring $ R[It]$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1264817-4
PII: S 0002-9939(1995)1264817-4
Article copyright: © Copyright 1995 American Mathematical Society