Simplicial resolutions for the second power of square-free monomial ideals

2021/03/06 by Cooper, Susan M., Khoury, Sabine El, Faridi, Sara +4 · 2 citations
#13D02 #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.04074

Abstract

Given a square-free monomial ideal I, we define a simplicial complex labeled by the generators of I² which supports a free resolution of I². As a consequence, we obtain (sharp) upper bounds on the Betti numbers of the second power of any square-free monomial ideal.

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