Maximal twisted Betti numbers of complex hyperplane arrangement complements
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915612714860544 |
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| author | Liu, Yongqiang Maxim, Laurentiu Wang, Botong |
| author_facet | Liu, Yongqiang Maxim, Laurentiu Wang, Botong |
| contents | We show that the Betti numbers of a local system on the complement of an essential complex hyperplane arrangement are maximized precisely when the local system is constant. This result answers positively a recent question of Yoshinaga and the first author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_08787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximal twisted Betti numbers of complex hyperplane arrangement complements Liu, Yongqiang Maxim, Laurentiu Wang, Botong Algebraic Topology 32S22, 32S60, 52C35, 55N25 We show that the Betti numbers of a local system on the complement of an essential complex hyperplane arrangement are maximized precisely when the local system is constant. This result answers positively a recent question of Yoshinaga and the first author. |
| title | Maximal twisted Betti numbers of complex hyperplane arrangement complements |
| topic | Algebraic Topology 32S22, 32S60, 52C35, 55N25 |
| url | https://arxiv.org/abs/2511.08787 |