Lower Bounds on Betti Numbers

Adam Boocher () and Eloísa Grifo ()
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Adam Boocher: University of San Diego, Department of Mathematics
Eloísa Grifo: University of Nebraska – Lincoln, Department of Mathematics

A chapter in Commutative Algebra, 2021, pp 77-111 from Springer

Abstract: 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.

Keywords: Free resolutions; Betti numbers; Buchsbaum–Eisenbud–Horrocks Conjecture; Total Rank Conjecture; Primary:; 13D02 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/978-3-030-89694-2_2

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