On Moduli of Riemann Surfaces |
Common terms and phrases
admits Ahlfors algebraic analytic function appear assume B₂ Banach space belongs Bers boundary curves bounded canonical closed compact complex computation conformal mappings consider constant contain continuous converges D₁ D₂ defined definition denote depends derivative differentials discontinuous distance domain domain of holomorphy elements elliptic equivalent exists extension field finite fixed follows formula Fuchsian group functions genus g given hence holds holomorphic homeomorphism implies induces integral isomorphism Jordan domain kind leaves Lecture Lemma linear Main marked surfaces Math means metric Möbius transformation moduli natural norm normalized observe obtain origin parametric points proof Proposition prove quasiconformal quasiconformal map reference reflection regular Remark requirement respect Riemann surface satisfies self-mapping shown statement Teichmüller spaces Theorem theory topological uniformly unique universal upper half plane verifies