Algebraic invariant curves of plane polynomial differential systems

被引：5

作者：

Tsygvintsev, A ^{[1
]}

机构：

[1] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 03期

关键词：

D O I：

10.1088/0305-4470/34/3/325

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a plane polynomial vector field P (x, y) dr + Q (x, y) dy of degree m > 1, With each algebraic invariant curve of such a field we associate a compact Riemann surface with the meromorphic differential omega dx/P = dy/Q. The asymptotic estimate of the degree of an arbitrary algebraic invariant curve is found. In the smooth case this estimate has already been found by Cerveau and Lins Neto in a different way.

引用

页码：663 / 672

页数：10

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