Simultaneous Uniformization and Algebraic Correspondences

Mahan Mj; Sabyasachi Mukherjee

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arXiv · 2409.10468

Simultaneous Uniformization and Algebraic Correspondences

Mahan Mj·Sabyasachi Mukherjee

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Abstract

We prove a generalization of Bers' simultaneous uniformization theorem in the world of algebraic correspondences. More precisely, we construct algebraic correspondences that simultaneously uniformize a pair of non-homeomorphic genus zero orbifolds. We also present a complex-analytic realization of the Teichmüller space of a punctured sphere in the space of correspondences.

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Mahan Mj, Sabyasachi Mukherjee. 2025-09-21. Simultaneous Uniformization and Algebraic Correspondences. https://arxiv.org/abs/2409.10468

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