Stanley-Reisner Ideals with Pure Resolutions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910601010216960 |
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| author | Carey, David Katzman, Mordechai |
| author_facet | Carey, David Katzman, Mordechai |
| contents | This paper investgates Stanley-Reisner ideals with pure resolutions. We first describe two infinite families of such ideals associated to highly symmetric complexes. We then prove a partial analogue to the first Boij-Söderberg Conjecture for Stanley-Reisner ideals, by detailing an algorithm for constructing Stanley-Reisner ideals with pure Betti diagrams of any given shape, save for an initial shift. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05481 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stanley-Reisner Ideals with Pure Resolutions Carey, David Katzman, Mordechai Commutative Algebra This paper investgates Stanley-Reisner ideals with pure resolutions. We first describe two infinite families of such ideals associated to highly symmetric complexes. We then prove a partial analogue to the first Boij-Söderberg Conjecture for Stanley-Reisner ideals, by detailing an algorithm for constructing Stanley-Reisner ideals with pure Betti diagrams of any given shape, save for an initial shift. |
| title | Stanley-Reisner Ideals with Pure Resolutions |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2409.05481 |