Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system
Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system
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2 变量卡尼尔系统单向性上的纯辫群的有限轨道
DOI：
10.1093/integr/xyy005
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Calligaris P
中科院分区：
文献类型：
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作者：
Calligaris P
本文将Riemann球面的特征簇用五个边界分量作为仿射维数簇的一个参数族来实现。我们证明了映射类群的作用对应于辫子群在这个仿射簇上的作用，并对例外的有限轨道进行了分类。这个作用表示变量Garnier系统的非线性单值性，有限轨道对应于它的代数解。
In this article, we realize thecharacter variety of he Riemann spherewith five boundary components as a-parameter family of affine varieties of dimension. We show that the action of the mapping class group corresponds to certain action of the braid group on this family of affine varieties and classify exceptional finite orbits. This action represents the nonlinear monodromy of thevariable Garnier system and finite orbits correspond to its algebraic solutions.Communicated by: Nalini Joshi