Singular complete integrability

被引：5

作者：

Stolovitch, L ^{[1
]}

机构：

[1] Univ Toulouse 3, Lab Emile Picard, CNRS, UMR 5580, F-31062 Toulouse 4, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(98)80040-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that an holomorphic vector field in a neighbourhood of its singular point 0 is an element of C-n is analytically normalizable as soon as it has a sufficiently large number of commuting holomorphic vector fields, a sufficiently large number of formal first integrals, and that a Diophantian small divisors condition related to ifs linear part is satisfied. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：733 / 736

页数：4

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