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

Published 5 Jul 2024 in math.AC | (2407.04759v1)

Abstract: Let $I$ be a squarefree monomial ideal of $S=K[x_1,\ldots,x_n]$. We prove that if $\operatorname{hdepth}(S/I)\leq 8$ or $n\leq 10$ then $\operatorname{hdepth}(I)\geq \operatorname{hdepth}(S/I)-1$.

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