Simultaneous Uniformization and Algebraic Correspondences

Autor:	Mj, Mahan, Mukherjee, Sabyasachi
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Complex Variables Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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. Comment: 23 pages, 7 figures. The expository part of the article is based on arXiv:2103.00835, arXiv:2304.12699, and arXiv:2408.00204
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.10468 Zobrazit plný text záznamu View this record from Arxiv