Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913285190713344 |
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| author | Amata, Luca Crupi, Marilena Ficarra, Antonino |
| author_facet | Amata, Luca Crupi, Marilena Ficarra, Antonino |
| contents | We study some algebraic invariants of $t$-spread ideals, $t\ge 1$, such as the projective dimension and the Castelnuovo-Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of t-spread ideals for which such bounds are optimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_07084 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals Amata, Luca Crupi, Marilena Ficarra, Antonino Commutative Algebra 05E40, 13B25, 13D02, 16W50 We study some algebraic invariants of $t$-spread ideals, $t\ge 1$, such as the projective dimension and the Castelnuovo-Mumford regularity, by means of well-known graded resolutions. We state upper bounds for these invariants and, furthermore, we identify a special class of t-spread ideals for which such bounds are optimal. |
| title | Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals |
| topic | Commutative Algebra 05E40, 13B25, 13D02, 16W50 |
| url | https://arxiv.org/abs/2203.07084 |