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.
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页码：733 / 736
页数：4
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