Resurgence number of matroid configuration
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915621643485184 |
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| author | Hu, Haoxi |
| author_facet | Hu, Haoxi |
| contents | This article gives a new upper bound for the resurgence number of symbolic powers of matroidal configuration in the following situations: the height of the matroidal configuration is big, or the height is small, and the corresponding simplicial complex of the matroidal configuration is peaked. The Peaked simplicial complex is a generalization of bipartite graph. Furthermore, the article also gives a clean formula to compute the resurgence number and the strict containment of generalized uniform matroidal configuration which includes case of star configuration of hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12806 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resurgence number of matroid configuration Hu, Haoxi Commutative Algebra Combinatorics This article gives a new upper bound for the resurgence number of symbolic powers of matroidal configuration in the following situations: the height of the matroidal configuration is big, or the height is small, and the corresponding simplicial complex of the matroidal configuration is peaked. The Peaked simplicial complex is a generalization of bipartite graph. Furthermore, the article also gives a clean formula to compute the resurgence number and the strict containment of generalized uniform matroidal configuration which includes case of star configuration of hypersurfaces. |
| title | Resurgence number of matroid configuration |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2511.12806 |