Monodromy representations of systems of differential equations free from accessory parameters
Monodromy representations of systems of differential equations free from accessory parameters
复制标题
无附加参数的微分方程组的单峰表示
DOI：
10.1137/s0036141092242228
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发表时间：
1994
影响因子：
2
通讯作者：
Y. Haraoka
中科院分区：
文献类型：
--
作者：
Y. Haraoka
在Haraoka的论文[SIAM J. Math. Anal.，25（1994），pp. 1203-1226]，遵循大久保的理论[K. Okubo，Seminar reports of Tokyo Metropolitan University，1987]，得到了无辅助参数的${\bfP}^1（{\bfC}）$上所有一般类Fuchsian微分方程组的标准形.其中六类的显式形式是新的。本文计算了这六类系统的单值表示。所采用的技术类似于用于获得规范形式的技术。并计算了在这些单值群下不变性的埃尔米特形式。结果表明，每个系统的不变埃尔米特形式的空间是真实的一维的。
In a paper by Haraoka [SIAM J. Math. Anal., 25(1994), pp. 1203–1226], by following Okubo’s theory [K. Okubo, Seminar reports of Tokyo Metropolitan University, 1987], the canonical forms of all generic classes of Fuchsian systems of differential equations on ${\bf P}^1 ({\bf C})$ free from accessory parameters are obtained. Among them the explicit forms of six classes are new. In the present paper monodromy representations of the systems in the six classes are calculated. The technique employed is similar to one used to obtain the canonical forms. Hermitian forms invariant under those monodromy groups are also calculated. It turns out that the space of the invariant Hermitian forms for each system is real one-dimensional.