Betti numbers of fold products of linear forms
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916835567337472 |
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| author | Burity, Ricardo Tohaneanu, Stefan |
| author_facet | Burity, Ricardo Tohaneanu, Stefan |
| contents | The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we study their Betti numbers. In earlier work, the authors together with Yu Xie showed that these ideals have linear graded free resolution, and in this paper we take the study of the homological information about these ideals to the next natural level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Betti numbers of fold products of linear forms Burity, Ricardo Tohaneanu, Stefan Commutative Algebra Combinatorics 13D02 (Primary) 05E40, 14N20 (Secondary) The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we study their Betti numbers. In earlier work, the authors together with Yu Xie showed that these ideals have linear graded free resolution, and in this paper we take the study of the homological information about these ideals to the next natural level. |
| title | Betti numbers of fold products of linear forms |
| topic | Commutative Algebra Combinatorics 13D02 (Primary) 05E40, 14N20 (Secondary) |
| url | https://arxiv.org/abs/2507.07294 |