黎曼球上线性微分方程不规则奇异性的一般展开

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2021-01-01 DOI:10.4171/prims/57-3-6

T. Oshima

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引用次数: 6

摘要

对于P1上具有非分支不规则奇异点的线性微分算子P，我们考察了P作为与P具有相同刚性指标的Fuchsian微分算子P的奇异合流的实现，我们称之为P的展开。我们推测这总是可能的。例如，如果P是刚性的，这是正确的展开有助于我们研究方程Pu = 0。

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Versal Unfolding of Irregular Singularities of a Linear Differential Equation on the Riemann Sphere

For a linear differential operator P on P1 with unramified irregular singular points we examine a realization of P as a confluence of singularities of a Fuchsian differential operator P̃ having the same index of rigidity as P , which we call an unfolding of P . We conjecture that this is always possible. For example, if P is rigid, this is true and the unfolding helps us to study the equation Pu = 0.

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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.