零环上的无穷小中心问题与复合猜想

IF 0.6 4区数学 Q3 MATHEMATICS Functional Analysis and Its Applications Pub Date : 2022-03-17 DOI:10.1134/S0016266321040018

A. Álvarez, J. L. Bravo, C. Christopher, P. Mardešić

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引用次数: 2

摘要

我们研究了平面上的经典无穷小中心问题的模拟，但是对于零循环。在这种情况下，我们定义了位移函数，并证明当且仅当变形有一个构成因子时，位移函数等于零。也就是说，我们在这里证明了复合猜想是正确的，而不是零环上的切向中心问题。最后，给出了结果的应用实例。

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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Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture

We study the analog of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is identically zero if and only if the deformation has a composition factor. That is, we prove that here the composition conjecture is true, in contrast with the tangential center problem on zero cycles. Finally, we give examples of applications of our results.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.