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A Hypergraph Characterization of Nearly Complete Intersections by Bondi, Chiara; Gibbons, Courtney R.; Ke, Yuye; Martin, Spencer; Pothagoni, Shrunal; Stelzer, Andrew is a scholarly article available to read on EtoBox.

What is A Hypergraph Characterization of Nearly Complete Intersections about?

Recently, nearly complete intersection ideals were defined by Boocher and Seiner to establish lower bounds on Betti numbers for monomial ideals (arXiv:1706.09866). Stone and Miller then characterized nearly complete intersections using the theory of edge ideals (arXiv:2101.07901). We extend their work to fully characterize nearly complete intersections of arbitrary generating degrees and use this characterization to compute minimal free resolutions of nearly complete intersections from their degree 2 part.

Author

Bondi, Chiara; Gibbons, Courtney R.; Ke, Yuye; Martin, Spencer; Pothagoni, Shrunal; Stelzer, Andrew

Published

2021

Language

EN