Maximally reducible monodromy of bivariate hypergeometric systems
Maximally reducible monodromy of bivariate hypergeometric systems
复制标题
双变量超几何系统的最大可约单性
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Tanabé
中科院分区：
文献类型：
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作者：
T. Sadykov;S. Tanabé
研究了完整二元Horn型超几何系统解的分支。特别研究了Puiseux多项式解的不变子空间。我们主要研究由单纯构形定义的Horn系统，以及Ore-Sato多边形是三角形和与其边成比例的线段的Zonotope或Minkowski和的Horn系统。我们证明了单调表示极大可约的一个充要条件，即全纯解空间分裂为一维不变子空间的直和。
We investigate the branching of solutions of holonomic bivariate Horn-type hypergeometric systems. Special attention is paid to invariant subspaces of Puiseux polynomial solutions. We mainly study Horn systems defined by simplicial configurations and Horn systems whose Ore–Sato polygons are either zonotopes or Minkowski sums of a triangle and segments proportional to its sides. We prove a necessary and sufficient condition for the monodromy representation to be maximally reducible, that is, for the space of holomorphic solutions to split into a direct sum of one-dimensional invariant subspaces.