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Linearity of Free Resolutions of Monomial Ideals
[article]
2022
We study monomial ideals with linear presentation or partially linear resolution. We give combinatorial characterizations of linear presentation for square-free ideals of degree 3, and for primary ideals whose resolutions are linear except for the last step (the "almost linear" case). We also give sharp bounds on Castelnuovo-Mumford regularity and numbers of generators in some cases. It is a basic observation that linearity properties are inherited by the restriction of an ideal to a subset of
doi:10.48550/arxiv.2201.11263
fatcat:hga2tnq3hrd2vlfzxkxoadkpqi