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arXiv · 2103.04074

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

Susan M. Cooper·Sabine El Khoury·Sara Faridi·Sarah Mayes-Tang·Susan Morey·Liana M. Şega·Sandra Spiroff
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Abstract

Given a square-free monomial ideal $I$, we define a simplicial complex labeled by the generators of $I^2$ which supports a free resolution of $I^2$. 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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Susan M. Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M. Şega, Sandra Spiroff. 2021-03-06. Simplicial resolutions for the second power of square-free monomial ideals. https://arxiv.org/abs/2103.04074

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