平面分支的二临界叶形和半根

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2024-07-18 DOI:10.1016/j.exmath.2024.125591

引用次数: 0

摘要

在这项研究中，我们利用解析平面分支的半根，描述了解析平面分支解析对偶图三重点上的二临界叶形。特别是，我们获得了一种构造方法，为这种叶形提出了一个单参数的分离矩阵族。作为副产品，我们将和的特殊成员之间的接触阶与平面分支的解析离散不变式联系起来。

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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Dicritical foliations and semiroots of plane branches

In this work we describe dicritical foliations in $(ℂ^{2}, 0)$ at a triple point of the resolution dual graph of an analytic plane branch $C$ using its semiroots. In particular, we obtain a constructive method to present a one-parameter family $C_{u}$ of separatrices for such foliations. As a by-product we relate the contact order between a special member of $C_{u}$ and $C$ with analytic discrete invariants of plane branches.

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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