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arXiv · 2410.09891

Limits of an increasing sequence of Riemann surfaces

Diganta Borah·Prachi Mahajan·Jiju Mammen
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Abstract

Let $M$ be a Riemann surface which admits an exhaustion by open subsets $M_j$ each of which is biholomorphic to a fixed domain $\Omega \subset \mathbb{C}$. We describe $M$ in terms of $\Omega$ under various assumptions on the boundary components of $\Omega$.

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Diganta Borah, Prachi Mahajan, Jiju Mammen. 2024-10-13. Limits of an increasing sequence of Riemann surfaces. https://arxiv.org/abs/2410.09891

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