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Uniform bounds in generalized Cohen-Macaulay rings

Cao Huy Linh·Ngo Viet Trung
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Abstract

We establish a uniform bound for the Castelnuovo-Mumford regularity of associated graded rings of parameter ideals in a generalized Cohen-Macaulay ring. As consequences, we obtain uniform bounds for the relation type and the postulation number. Moreover, we show that generalized Cohen-Macaulay rings can be characterized by the existence of such uniform bounds.

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Cao Huy Linh, Ngo Viet Trung. 2006-06-26. Uniform bounds in generalized Cohen-Macaulay rings. https://arxiv.org/abs/math/0606639

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