论文标题
附件参数的真实分析性
Real analyticity of accessory parameters
论文作者
论文摘要
我们考虑了liouville理论的附属参数对问题的模量的真实分析依赖性的问题，对于一般的椭圆奇点。在单个附件参数（例如在具有四个来源或带有单个源的圆环拓扑的球体拓扑中，仅使用辅助方程溶液的一般分析性能。然后，我们处理两个附件参数的情况。我们使用单个附件参数获得的结果来得出较低维平面上问题投影的严格属性。在假设不可约性的假设下，我们得出了两个附件参数的实际分析结果。
We consider the problem of the real analytic dependence of the accessory parameters of Liouville theory on the moduli of the problem, for general elliptic singularities. We give a simplified proof of the almost everywhere real analyticity in the case of a single accessory parameter as it occurs e.g. in the sphere topology with four sources or for the torus topology with a single source by using only the general analyticity properties of the solution of the auxiliary equation. We deal then the case of two accessory parameters. We use the obtained result for a single accessory parameter to derive rigorous properties of the projection of the problem on lower dimensional planes. We derive the real analyticity result for two accessory parameters under an assumption of irreducibility.
