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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.06217 |
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| _version_ | 1866913124646387712 |
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| author | Lu, Xin Tan, Shengli Zuo, Kang |
| author_facet | Lu, Xin Tan, Shengli Zuo, Kang |
| contents | We show that there does not exist any Shimura curve with strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$. In particular, Shimura curves of Mumford type are not generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06217 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus Lu, Xin Tan, Shengli Zuo, Kang Algebraic Geometry 14J10, 14E30 We show that there does not exist any Shimura curve with strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$. In particular, Shimura curves of Mumford type are not generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$. |
| title | Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus |
| topic | Algebraic Geometry 14J10, 14E30 |
| url | https://arxiv.org/abs/2403.06217 |