School of Mathematical & Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

5-2025

Abstract

We prove a generalized version of Evans and Griffith’s improved new intersection theorem: Let I be an ideal in a local ring R. If a finite free R-complex, concentrated in nonnegative degrees, has I-torsion homology in positive degrees, and the homology in degree 0 has an I-torsion minimal generator, then the length of the complex is at least dimR−dimR/I. This improves the bound htI obtained by Avramov, Iyengar, and Neeman in 2018.

Comments

Copyright © 2025 The University of Michigan

Publication Title

Michigan Mathematical Journal

DOI

10.1307/mmj/20226245

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