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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/2412.01257 |
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| _version_ | 1866929610533371904 |
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| author | De Pool, Rodrigo Souto, Juan |
| author_facet | De Pool, Rodrigo Souto, Juan |
| contents | We prove that forgetful maps are the only non-constant holomorphic maps $\mathcal{M}_{g,r}\to \mathcal{M}_{g',r'}$ between moduli spaces, as long as $g\ge 4$ and $g'\le 3\cdot 2^{g-3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01257 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holomorphic maps between moduli spaces II De Pool, Rodrigo Souto, Juan Geometric Topology Algebraic Geometry Differential Geometry 57M50, 32H02 We prove that forgetful maps are the only non-constant holomorphic maps $\mathcal{M}_{g,r}\to \mathcal{M}_{g',r'}$ between moduli spaces, as long as $g\ge 4$ and $g'\le 3\cdot 2^{g-3}$. |
| title | Holomorphic maps between moduli spaces II |
| topic | Geometric Topology Algebraic Geometry Differential Geometry 57M50, 32H02 |
| url | https://arxiv.org/abs/2412.01257 |