黎曼球上线性微分方程不规则奇异性的一般展开

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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