Abstract
It is well known that finite-dimensional Teichmüller spaces are holomorphically convex, that is, they are domains of holomorphy. Moreover, the holomorphic convexity is fulfilled for all Teichmüller spaces in a stronger form: they are complex hyperconvex. In this note we establish that, in fact, finite-dimensional Teichmüller spaces possess a much stronger convexity property, namely, they are polynomially convex; in other words, they are Runge domains. Additionally, some geometric properties of Teichmüller spaces are established.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
