Integrable Deformations and Degenerations of Some Irregular Singularities

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-11-22 DOI:10.4171/PRIMS/57-3-2

C. Sabbah

引用次数: 9

Abstract

Inspired by an article of Cotti, Dubrovin and Guzzetti arXiv:1706.04808, we extend to a degenerate case a result of Malgrange on integrable deformations of irregular singularities. We give an application to integrable deformations of the solution of some Birkhoff problem and apply it to the construction of Frobenius manifolds.

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一些不规则奇异点的可积变形和退化

受Cotti，Dubrovin和Guzzetti arXiv:1706.04808文章的启发，我们将Malgrange关于不规则奇点的可积变形的结果推广到退化情况。我们给出了Birkhoff问题解的可积变形的一个应用，并将其应用于Frobenius流形的构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.