关于叶理的BriançOn–Skoda定理

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2023-07-20 DOI:10.1016/j.exmath.2023.07.001

Arturo Fernández-Pérez , Evelia R. García Barroso , Nancy Saravia-Molina

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引用次数: 0

摘要

我们将Mattei关于叶形的brianon - skoda定理的结果推广到第二类叶形族。我们利用这一推广建立了第二类叶的Milnor数和Tjurina数之间的关系，并在Liu对复杂超曲面的研究结果的启发下，确定了代数曲线的全局Tjurina数的下界。

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On Briançon–Skoda theorem for foliations

We generalize Mattei’s result relative to the Briançon–Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relationships between the Milnor and Tjurina numbers of foliations of second type, inspired by the results obtained by Liu for complex hypersurfaces and we determine a lower bound for the global Tjurina number of an algebraic curve.

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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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