On periodic Teichmüller disks of modular transformations
| Autor: | Shengjian Wu, Yan Huang |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Mathematics::Complex Variables
business.industry General Mathematics Mathematical analysis Modular design Mathematics::Geometric Topology Modular transformation Moduli space Riemann hypothesis symbols.namesake Cover (topology) symbols Mathematics::Metric Geometry Algebra over a field business Mathematics |
| Zdroj: | Israel Journal of Mathematics. 202:491-508 |
| ISSN: | 1565-8511 0021-2172 |
| DOI: | 10.1007/s11856-014-1090-3 |
| Popis: | We study the periodic Teichmuller disks of modular transformations. Especially, we prove that a parabolic modular transformation has either no periodic Teichmulluller disk or infinitely many periodic Teichmuller disks which can be chosen to cover infinitely many arithmetic Teichmuller curves in the Riemann moduli space Mg. Some related topics are also discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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