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Pàgina inicial > Articles > Articles publicats > Bers' constants for punctured spheres and hyperelliptic surfaces |
Data: | 2012 |
Resum: | The main goal of this paper is to present a proof of Buser's conjecture about Bers' constants for spheres with cusps (or marked points) and for hyperelliptic surfaces. More specifically, our main result states that any hyperbolic sphere with n cusps has a pants decomposition with all of its geodesics of length bounded by 30√2π(n-2). Other results include lower and upper bounds for Bers' constants for hyperelliptic surfaces and spheres with boundary geodesics. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Bers' constants ; Riemann surfaces ; Simple closed geodesics ; Teichmüller and moduli spaces |
Publicat a: | Journal of Topology and Analysis, Vol. 4, Num. 3 (September 2012) , p. 271-296, ISSN 1793-7167 |
Postprint 22 p, 510.2 KB |