2018/04/05 by Futoshi Hayasaka, Hayasaka, Futoshi
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AC #msc:13H15 #msc:13P99
paper · pdf · doi:10.48550/arxiv.1804.01707
10 pages, to appear in JPAA
arxiv created 2018/04/05 · arxiv updated 2018/04/06
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.