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University of Nebraska - Lincoln

Department of Mathematics: Faculty Publications

2021

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Lower Bounds On Betti Numbers, Adam Boocher, Eloisa Grifo Aug 2021

Lower Bounds On Betti Numbers, Adam Boocher, Eloisa Grifo

Department of Mathematics: Faculty Publications

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.