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

Published 6 Mar 2021 in math.AC | (2103.04074v2)

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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