Comparing Hilbert depth of $I$ with Hilbert depth of $S/I$. III
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916313917554688 |
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| author | Bordianu, Andreea I. Cimpoeas, Mircea |
| author_facet | Bordianu, Andreea I. Cimpoeas, Mircea |
| contents | 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 $\operatorname{hdepth}(I)\geq \operatorname{hdepth}(S/I)-1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_04759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Comparing Hilbert depth of $I$ with Hilbert depth of $S/I$. III Bordianu, Andreea I. Cimpoeas, Mircea Commutative Algebra 05A18, 06A07, 13C15, 13P10, 13F20 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 $\operatorname{hdepth}(I)\geq \operatorname{hdepth}(S/I)-1$. |
| title | Comparing Hilbert depth of $I$ with Hilbert depth of $S/I$. III |
| topic | Commutative Algebra 05A18, 06A07, 13C15, 13P10, 13F20 |
| url | https://arxiv.org/abs/2407.04759 |