Simultaneous Uniformization and Algebraic Correspondences
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911163899445248 |
|---|---|
| author | Mj, Mahan Mukherjee, Sabyasachi |
| author_facet | Mj, Mahan Mukherjee, Sabyasachi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10468 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simultaneous Uniformization and Algebraic Correspondences Mj, Mahan Mukherjee, Sabyasachi Geometric Topology Complex Variables Dynamical Systems 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. |
| title | Simultaneous Uniformization and Algebraic Correspondences |
| topic | Geometric Topology Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2409.10468 |