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arXiv · 1805.02314

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

Futoshi Hayasaka
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Abstract

The associated Buchsbaum-Rim multiplicities of a module are a descending sequence of non-negative integers. These invariants of a module are a generalization of the classical Hilbert-Samuel multiplicity of an ideal. In this article, we compute the associated Buchsbaum-Rim multiplicity of a direct sum of cyclic modules and give a formula for the second to last positive Buchsbaum-Rim multiplicity in terms of the ordinary Buchsbaum-Rim and Hilbert-Samuel multiplicities. This is a natural generalization of a formula given by Kirby and Rees.

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Futoshi Hayasaka. 2018-05-07. A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules II. https://arxiv.org/abs/1805.02314

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