同步均匀化和代数对应关系

arXiv - MATH - Geometric Topology Pub Date : 2024-09-16 DOI:arxiv-2409.10468

Mahan Mj, Sabyasachi Mukherjee

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引用次数: 0

摘要

我们证明了贝尔斯同时均匀化定理在代数对应关系世界中的推广。更准确地说，我们构造了代数对应，它能同时均匀化一对非同向零属轨道。我们还在对应空间中提出了一个穿刺球的泰克姆（Teichm\"uller ）空间的复解析实现。

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Simultaneous Uniformization and Algebraic Correspondences

We prove a generalization of the 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 Teichm\"uller space of a punctured sphere in the space of correspondences.

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arXiv - MATH - Geometric Topology

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