A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules
Commutative Algebra
2018-04-06 v1
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.
Keywords
Cite
@article{arxiv.1804.01707,
title = {A formula for the associated Buchsbaum-Rim multiplicities of a direct sum of cyclic modules},
author = {Futoshi Hayasaka},
journal= {arXiv preprint arXiv:1804.01707},
year = {2018}
}
Comments
10 pages, to appear in JPAA