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arXiv · 1804.01707

A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules

Futoshi Hayasaka
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Abstract

In this article, we compute the Buchsbaum-Rim function of two variables associated to a direct sum of cyclic modules and give a formula for the last positive associated Buchsbaum-Rim multiplicity in terms of the ordinary Hilbert-Samuel multiplicity of an ideal. This is a generalization of a formula for the last positive Buchsbaum-Rim multiplicity given by Kirby and Rees.

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Futoshi Hayasaka. 2018-04-05. A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules. https://arxiv.org/abs/1804.01707

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