A Fröberg type theorem for higher secant complexes
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915289515425792 |
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| author | Choe, Junho Jung, Jaewoo |
| author_facet | Choe, Junho Jung, Jaewoo |
| contents | We generalize the celebrated Fröberg's theorem to embedded joins of copies of a simplicial complex, namely higher secant complexes to the simplicial complex, in terms of property $N_{q+1,p}$ due to Green and Lazarsfeld. Furthermore, we investigate combinatorial phenomena parallel to geometric ones observed for higher secant varieties of minimal degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20987 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Fröberg type theorem for higher secant complexes Choe, Junho Jung, Jaewoo Commutative Algebra Algebraic Geometry Combinatorics 13F55, 14N07, 05E45 We generalize the celebrated Fröberg's theorem to embedded joins of copies of a simplicial complex, namely higher secant complexes to the simplicial complex, in terms of property $N_{q+1,p}$ due to Green and Lazarsfeld. Furthermore, we investigate combinatorial phenomena parallel to geometric ones observed for higher secant varieties of minimal degree. |
| title | A Fröberg type theorem for higher secant complexes |
| topic | Commutative Algebra Algebraic Geometry Combinatorics 13F55, 14N07, 05E45 |
| url | https://arxiv.org/abs/2502.20987 |