Abstract
Let (R,m) be a Noetherian local ring of dimension d>0. Let I•={In}n∈N be a graded family of m-primary ideals in R. We examine how far off from a polynomial can the length function ℓR(R/In) be asymptotically. More specifically, we show that there exists a constant γ>0 such that for all n≥0,ℓR(R/In+1)−ℓR(R/In)<γnd−1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Journal of Algebra
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
