*-transforms of acyclic complexes
Abstract
Let R be an n-dimensional Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex (F, ) of length n of finitely generated free R-modules is given. We put M = Im 1, which is an R-submodule of F0. Then F is an R-free resolution of F0/M. In this paper, we describe a concrete procedure to get an acyclic complex of length n that resolves F0/(M : Q).
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.