Divergent CR-equivalences and meromorphic differential equations

Kossovskiy Ilya; Shafikov Rasul

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Divergent CR-equivalences and meromorphic differential equations

机译：发散CR等价和亚纯微分方程

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摘要

Using the analytic theory of differential equations, we construct, in any positive CR-dimension and CR-codimension, examples of formally but not holomorphically equivalent real-analytic CR-submanifolds in complex space.

机译：利用微分方程的解析理论，我们可以在任何正CR维和CR余维中构造复空间中形式但非全同等价的实解析CR子流形的示例。

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《Journal of the European Mathematical Society: JEMS》 |2016年第12期|共35页
作者
Kossovskiy Ilya; Shafikov Rasul;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
CR-manifolds; formal mappings; holomorphic classification;

机译：CR流形;形式映射;全同分类;

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专利

1. Divergent CR-equivalences and meromorphic differential equations [J] . Kossovskiy Ilya, Shafikov Rasul Journal of the European Mathematical Society: JEMS . 2016,第12期

机译：发散CR等价和亚纯微分方程
2. On the Complex Oscillation of Meromorphic Solutions of Nonhomogeneous Linear Differential Equations with Meromorphic Coefficients [J] . Chuang-Xin Chen, Ning Cui, Zong-Xuan Chen Discrete dynamics in nature and society . 2020,第4期

机译：论纯系数的非均匀线性微分方程亚纯解的复杂振荡
3. ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS [J] . Yinying KONG, Daochun SUN 数学物理学报（英文版） . 2013,第002期

机译：亚纯系数的二阶线性微分方程的整体亚纯解
4. The Fixed Point and Hyper Order of Solutions of Higher Order Nonhomogeneous Linear Differential Equations with Meromorphic Function Coefficents [C] . Jin Jin International Conference on Mechanical and Aerospace Engineering . 2012

机译：纯函数系数的高阶非均匀线性微分方程解的固定点和超阶
5. Non-meromorphic solutions to differential equations. [D] . Sugrue, Patrick. 2013

机译：微分方程的非亚纯解。
6. The Oscillation on Solutions of Some Classes of Linear Differential Equations with Meromorphic Coefficients of Finite p q-Order [O] . Hong-Yan Xu, Jin Tu, Zu-Xing Xuan 2013

机译：几类具有亚纯pq-阶亚纯系数的线性微分方程解的振动性
7. Divergent CR-equivalences and meromorphic differential equations [O] . Ilya Kossovskiy, Rasul Shafikov 2016

机译：发散的Cr-anderatiands和亚纯微分方程
8. Meromorphic Solutions of Generalized Algebraic Differential Equations [R] . Yang, C. C. 1971

机译：广义代数微分方程的亚纯解

Divergent CR-equivalences and meromorphic differential equations

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