Document Type

Article

Date

4-3-2006

Embargo Period

11-15-2011

Disciplines

Mathematics

Description/Abstract

We study the growth of the Betti sequence of the canonical module of a Cohen-Macaulay local ring. It is an open question whether this sequence grows exponentially whenever the ring is not Gorenstein. We answer the question of exponential growth affirmatively for a large class of rings, and prove that the growth is in general not extremal. As an application of growth, we give criteria for a Cohen-Macaulay ring possessing a canonical module to be Gorenstein.

Additional Information

This manuscript is from arXiv.org, more information see http://arxiv.org/abs/math/0603693

Source

Harvested from arXiv.org

Creative Commons License


This work is licensed under a Creative Commons Attribution 3.0 License.

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Mathematics Commons

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