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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.12303 |
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| _version_ | 1866910797139017728 |
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| author | Miró-Roig, Rosa Maria Pérez, Josep |
| author_facet | Miró-Roig, Rosa Maria Pérez, Josep |
| contents | In this paper we prove that any full Perazzo algebra $A_F$, whose Macaulay dual generator is a Perazzo form $F\in K[X_0,\dots,X_n,U_1,\dots,U_m]_d$ with $n+1 = \binom{d+m-2}{m-1}$, is the doubling of a 0-dimensional scheme in $\PP^{n+m}$ and we compute the graded Betti numbers of a minimal free resolution of $A_F$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Betti numbers of full Perazzo algebras Miró-Roig, Rosa Maria Pérez, Josep Commutative Algebra In this paper we prove that any full Perazzo algebra $A_F$, whose Macaulay dual generator is a Perazzo form $F\in K[X_0,\dots,X_n,U_1,\dots,U_m]_d$ with $n+1 = \binom{d+m-2}{m-1}$, is the doubling of a 0-dimensional scheme in $\PP^{n+m}$ and we compute the graded Betti numbers of a minimal free resolution of $A_F$. |
| title | Betti numbers of full Perazzo algebras |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2501.12303 |