On the structure of the complement of skeleton
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912427110563840 |
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| author | Brown, Morgan Xu, Jiachang Zhang, Muyuan |
| author_facet | Brown, Morgan Xu, Jiachang Zhang, Muyuan |
| contents | We study the higher dimensional geometry of Berkovich spaces using virtual open disks, which are given by fibration of relative dimension $1$. Inspired by birational geometry, we conjecture that the Berkovich skeleton is the complement of the union of all virtual open disks, and prove this conjecture for $\mathcal{X}$ admitting a strictly semistable model with semiample canonical class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the structure of the complement of skeleton Brown, Morgan Xu, Jiachang Zhang, Muyuan Algebraic Geometry 14G22 We study the higher dimensional geometry of Berkovich spaces using virtual open disks, which are given by fibration of relative dimension $1$. Inspired by birational geometry, we conjecture that the Berkovich skeleton is the complement of the union of all virtual open disks, and prove this conjecture for $\mathcal{X}$ admitting a strictly semistable model with semiample canonical class. |
| title | On the structure of the complement of skeleton |
| topic | Algebraic Geometry 14G22 |
| url | https://arxiv.org/abs/2407.09036 |