延拓方法与辅助参数的实解析性：一般椭圆情形
The continuation method and the real analyticity of the accessory parameters: the general elliptic case
摘要：
本文应用Le Roy-Poincaré延拓方法证明了在任意数目的椭圆源存在的情况下，Liouville理论中的辅助参数对源位置的实解析依赖性.这种处理方法可以很容易地推广到具有任意数量椭圆奇点的环面的情形。讨论的方法的扩展到抛物型奇点和更高的亏格曲面。
英文摘要：
We apply the Le Roy-Poincaré continuation method to prove the real analytic dependence of the accessory parameters on the position of the sources in Liouville theory in presence of any number of elliptic sources. The treatment is easily extended to the case of the torus with any number of elliptic singularities. A discussion is given of the extension of the method to parabolic singularities and higher genus surfaces.
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