HOLOMORPHIC FOLIATION OF CODIMENSION 1: A LOCAL STUDY IN THE DIACRITICAL CASE

被引：0

作者：

Cerveau, Dominique ^{[1
,2
]}

Lins Neto, Alcides ^{[3
]}

Ravara-Vago, Marianna ^{[2
]}

机构：

[1] Univ Rennes 1, Inst Univ France, Campus Beaulieu, F-35042 Rennes, France

[2] Univ Rennes 1, IRMAR, Campus Beaulieu, F-35042 Rennes, France

[3] IMPA, Estr Dona Castorina 110, BR-22460010 Rio De Janeiro, RJ, Brazil

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2016年 / 49卷 / 01期

关键词：

LINEAR DIFFERENTIAL-EQUATIONS; GODBILLON-VEY SEQUENCES; 1ST INTEGRALS; SINGULAR FOLIATIONS; THEOREM; FORMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the singularities of dicritical holomorphic foliations of small multiplicity in dimension 3. In particular we connect the existence of non trivial deformations and deployments to problems of Liouvillian integrability.

引用

页码：213 / 247

页数：35

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