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
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
收藏
页码:213 / 247
页数:35
相关论文
共 50 条
  • [21] Local residues of holomorphic 1-forms on an isolated surface singularity
    Klehn, O
    [J]. MANUSCRIPTA MATHEMATICA, 2002, 109 (01) : 93 - 108
  • [22] Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps
    Ponce, Mario
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2012, 32 : 2056 - 2070
  • [23] A case study of local conservation
    不详
    [J]. JOURNAL OF BIOLOGICAL EDUCATION, 1996, 30 (03) : 163 - 163
  • [24] Local dependencies and Poissonification:: a case study
    Andersson, S
    Rydén, T
    [J]. PERFORMANCE EVALUATION, 2003, 52 (01) : 41 - 58
  • [25] A local case study of the crime decline
    Clancey, Garner
    [J]. SAFER COMMUNITIES, 2015, 14 (02) : 104 - 114
  • [26] HOW LOCAL IS LOCAL: CASE STUDY OF PRAGUE FARMERS' MARKET
    Balcarova, Tereza
    Pilar, Ladislav
    Polakova, Jana
    Petkov, Rosen
    [J]. AGRARIAN PERSPECTIVES XXVII - FOOD SAFETY - FOOD SECURITY, 2018, : 7 - 13
  • [27] Keeping it local Incorporating a local case study in the business curriculum
    Johnson, Larry Alan
    Helms, Marilyn M.
    [J]. EDUCATION AND TRAINING, 2008, 50 (04): : 315 - 328
  • [28] WAVE-PACKETS FOR THE RELATIVE DISCRETE-SERIES .1. THE HOLOMORPHIC CASE
    HERB, RA
    WOLF, JA
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 73 (01) : 1 - 37
  • [29] Explicit Formulas for All Scator Holomorphic Functions in the (1+2)-Dimensional Case
    Cieslinski, Jan L.
    Zhalukevich, Dzianis
    [J]. SYMMETRY-BASEL, 2020, 12 (09):
  • [30] On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1
    Nazarov, Fedor
    Tolsa, Xavier
    Volberg, Alexander
    [J]. ACTA MATHEMATICA, 2014, 213 (02) : 237 - 321