具有两个生成元的SL_2(C)的可解子群构造及对Fuchs系统的应用

Structure of Solvable Subgroup with Two Generators in SL2(C)and Its Application to Fuchsian System

本文给出ＳＬ２（Ｃ）中具有两个生成元的可解子群的结构定理，并由单值群的可解性定义一类环面Ｔ２上Ｆｕｃｈｓ系统的可积性，进而研究该系统的解的一些大范围性质．

This paper gives structure theorem of solvable subgroup generated by two elements in SL2 (C), defines Fuchsian system's integrability on ring surface T2 by solvability ofmonodromy group and discusses some global properties of the system's solution.