Limits of an increasing sequence of Riemann surfaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912071674757120 |
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| author | Borah, Diganta Mahajan, Prachi Mammen, Jiju |
| author_facet | Borah, Diganta Mahajan, Prachi Mammen, Jiju |
| contents | Let $M$ be a Riemann surface which admits an exhaustion by open subsets $M_j$ each of which is biholomorphic to a fixed domain $Ω\subset \mathbb{C}$. We describe $M$ in terms of $Ω$ under various assumptions on the boundary components of $Ω$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limits of an increasing sequence of Riemann surfaces Borah, Diganta Mahajan, Prachi Mammen, Jiju Complex Variables Let $M$ be a Riemann surface which admits an exhaustion by open subsets $M_j$ each of which is biholomorphic to a fixed domain $Ω\subset \mathbb{C}$. We describe $M$ in terms of $Ω$ under various assumptions on the boundary components of $Ω$. |
| title | Limits of an increasing sequence of Riemann surfaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2410.09891 |