Abstract
ABSTRACTLet (R,𝔪) be a Noetherian local ring of dimension d>0 with infinite residue field. Let M be a finitely generated proper R-submodule of a free R-module F with ℓ(F∕M)<∞ and having rank r. In this article, we study the fiber multiplicity f0(M) of the module M. We prove that if (R,𝔪) is a two-dimensional Cohen–Macaulay local ring, then , where bri(M) denotes the ith Buchsbaum-Rim coefficient of M.
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