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Document Type

Article

Date of this Version

8-12-2021

Citation

Published (2022) Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday, pp. 77-111.

Comments

Used by permission.

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.

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