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Comparing Hilbert depth of $I$ with Hilbert depth of $S/I$. II

Published 6 Apr 2024 in math.AC and math.CO | (2404.04646v1)

Abstract: Let $I$ be a squarefree monomial ideal of $S=K[x_1,\ldots,x_n]$. We prove that if $\operatorname{hdepth}(S/I)\leq 6$ of $n\leq 9$ then $\operatorname{hdepth}(I)\geq \operatorname{hdepth}(S/I)$, giving a positive answer to a problem putted in arxiv:2403.17078

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