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Morse resolutions of powers of square-free monomial ideals of projective dimension one
Published 14 Mar 2021 in math.AC and math.CO | (2103.07959v3)
Abstract: Let $I$ be a square-free monomial ideal $I$ of projective dimension one. Starting with the Taylor complex on the generators of $Ir$, we use Discrete Morse theory to describe a CW complex that supports a minimal free resolution of $Ir$. To do so, we concretely describe the acyclic matching on the faces of the Taylor complex.
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