标题： Bers-Greenberg定理和Teichmüller空间的Maskit嵌入 显示英文标题

标题： The Bers-Greenberg Theorem and the Maskit Embedding for Teichmüller spaces

摘要： Bers-Greenberg定理指出，带有分支点（轨道曲面）的黎曼曲面的Teichmüller空间仅取决于亏格和特殊点的数量，而与特定的分支值无关。 另一方面，Maskit嵌入提供了一个从轨道曲面的Teichmüller空间到一维Teichmüller空间乘积的映射。 在本文中，我们证明存在一组一维Teichmüller空间之间的同构，当限制在轨道曲面的Teichmüller空间在Maskit嵌入下的像时，这些同构提供了Bers-Greenberg同构。 显示英文摘要

摘要： The Bers-Greenberg theorem tells that the Teichm\"{u}ller space of a Riemann surface with branch points (orbifold) depends only on the genus and the number of special points, but not on the particular ramification values. On the other hand, the Maskit embedding provides a mapping from the Teichm\"{u}ller space of an orbifold, into the product of one dimensional Teichm\"{u}ller spaces. In this paper we prove that there is a set of isomorphisms between one dimensional Teichm\"{u}ller spaces that, when restricted to the image of the Teichm\"{u}ller space of an orbifold under the Maskit embedding, provides the Bers-Greenberg isomorphism.