Independence of generic forms and the Fröberg conjecture
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914531541778432 |
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| author | Boij, Mats Dannetun, Eric Lundqvist, Samuel |
| author_facet | Boij, Mats Dannetun, Eric Lundqvist, Samuel |
| contents | We show that the Fröberg conjecture holds in the second non-trivial degree for an ideal generated by generic forms of degree $d>2$. We also show that the conjecture is true up to degree $2d-1$ provided that the number of variables is sufficiently large. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03872 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Independence of generic forms and the Fröberg conjecture Boij, Mats Dannetun, Eric Lundqvist, Samuel Commutative Algebra We show that the Fröberg conjecture holds in the second non-trivial degree for an ideal generated by generic forms of degree $d>2$. We also show that the conjecture is true up to degree $2d-1$ provided that the number of variables is sufficiently large. |
| title | Independence of generic forms and the Fröberg conjecture |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2605.03872 |