On the ordinary and symbolic powers of fiber products
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917787437367296 |
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| author | Do, Hoang Viet Nguyen, Hop D. Fakhari, Seyed Amin Seyed |
| author_facet | Do, Hoang Viet Nguyen, Hop D. Fakhari, Seyed Amin Seyed |
| contents | We completely determine the depth and regularity of symbolic powers of the fiber product of two homogeneous ideals in disjoint sets of variables, given knowledge of the symbolic powers of each factor. Generalizing previous joint work with Vu, we provide exact, characteristic-independent formulas for the depth and regularity of ordinary powers of such fiber products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17551 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the ordinary and symbolic powers of fiber products Do, Hoang Viet Nguyen, Hop D. Fakhari, Seyed Amin Seyed Commutative Algebra We completely determine the depth and regularity of symbolic powers of the fiber product of two homogeneous ideals in disjoint sets of variables, given knowledge of the symbolic powers of each factor. Generalizing previous joint work with Vu, we provide exact, characteristic-independent formulas for the depth and regularity of ordinary powers of such fiber products. |
| title | On the ordinary and symbolic powers of fiber products |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2409.17551 |