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- W4300719594 abstract "Let $Isubset K[x_1,ldots,x_n]$ be a zero-dimensional monomial ideal, and $Delta(I)$ be the simplicial complex whose Stanley--Reisner ideal is the polarization of $I$. It follows from a result of Soleyman Jahan that $Delta(I)$ is shellable. We give a new short proof of this fact by providing an explicit shelling. Moreover, we show that $Delta(I)$ is even vertex decomposable. The ideal $L(I)$, which is defined to be the Stanley--Reisner ideal of the Alexander dual of $Delta(I)$, has a linear resolution which is cellular and supported on a regular CW-complex. All powers of $L(I)$ have a linear resolution. We compute $mathrm{depth} L(I)^k$ and show that $mathrm{depth} L(I)^k=n$ for all $kgeq n$." @default.
- W4300719594 created "2022-10-04" @default.
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- W4300719594 date "2014-11-28" @default.
- W4300719594 modified "2023-09-28" @default.
- W4300719594 title "Simplicial complexes of whisker type" @default.
- W4300719594 doi "https://doi.org/10.48550/arxiv.1411.7890" @default.
- W4300719594 hasPublicationYear "2014" @default.
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