Faithful tropicalization and Skeleton of $\overline{M}_{0,n}$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908416985792512 |
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| author | Xu, Jiachang Zhang, Muyuan |
| author_facet | Xu, Jiachang Zhang, Muyuan |
| contents | We propose a comparison between the Berkovich skeleton of Berkovich analytification of $(\overline{\textsf{M}}_{0,n},{\overline{\textsf{M}}_{0,n} \setminus \textsf{M}_{0,n}})$ and faithful tropicalization of $\textsf{M}_{0,n}$ over a complete discrete valued field. In particular, we proved the two combinatorial structures are the same in terms of valuation in $\overline{\textsf{M}}^{\textsf{an}}_{0,n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_04797 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Faithful tropicalization and Skeleton of $\overline{M}_{0,n}$ Xu, Jiachang Zhang, Muyuan Algebraic Geometry 14T20, 14N10, 14G22 We propose a comparison between the Berkovich skeleton of Berkovich analytification of $(\overline{\textsf{M}}_{0,n},{\overline{\textsf{M}}_{0,n} \setminus \textsf{M}_{0,n}})$ and faithful tropicalization of $\textsf{M}_{0,n}$ over a complete discrete valued field. In particular, we proved the two combinatorial structures are the same in terms of valuation in $\overline{\textsf{M}}^{\textsf{an}}_{0,n}$. |
| title | Faithful tropicalization and Skeleton of $\overline{M}_{0,n}$ |
| topic | Algebraic Geometry 14T20, 14N10, 14G22 |
| url | https://arxiv.org/abs/2301.04797 |