Lower bounds on Betti numbers

Authors

Adam Boocher, University of San DiegoFollow
Eloisa Grifo, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

8-2021

Citation

arXiv:2108.05871v1 [math.AC] 12 Aug 2021

Comments

CC-BY

Abstract

We survey recent results on bounds for Betti numbers of modules over polynomial rings, with an emphasis on lower bounds. Along the way, we give a gentle introduction to free resolutions and Betti numbers, and discuss some of the reasons why one would study these.