Polar curves of a singular foliation

被引：2
|
作者：
Corral, N [1 ]
机构：
[1] Fac Ciencias, Dept Algebra Geomet & Topol, Valladolid 47005, Spain
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 01期
关键词：
D O I：
10.1016/S0764-4442(00)00515-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a decomposition into bunches of branches of a generic polar curve of a singular foliation F depending only on the topology of its separatrices, under the assumption that F has not saddle-nodes in the desingularization and its logarithmic model is not resonant. We generalize the results known for the curves with one or several branches and some foliations with only one separatrix. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：51 / 54
页数：4
相关论文
共 50 条
  • [1] On the polar linear system of a foliation by curves in a projective space
    Campillo, A
    Olivares, J
    Geometry of Riemann Surfaces and Abelian Varieties, 2006, 397 : 7 - 14
  • [2] Hermitian metrics inducing the Poincare metric, in the leaves of a singular holomorphic foliation by curves
    Neto, AL
    Martins, JCC
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (07) : 2963 - 2988
  • [3] On singular Finsler foliation
    Alexandrino, Marcos M.
    Alves, Benigno O.
    Angel Javaloyes, Miguel
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (01) : 205 - 226
  • [4] DICRITICALNESS OF A SINGULAR FOLIATION
    CANO, F
    LECTURE NOTES IN MATHEMATICS, 1988, 1345 : 73 - 94
  • [5] On singular Finsler foliation
    Marcos M. Alexandrino
    Benigno O. Alves
    Miguel Angel Javaloyes
    Annali di Matematica Pura ed Applicata (1923 -), 2019, 198 : 205 - 226
  • [6] GRAPH OF A SINGULAR FOLIATION
    PRADINES, J
    BIGONNET, B
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (13): : 439 - 442
  • [7] About the topology of polar curves of some singular foliations
    Corral, N
    ANNALES DE L INSTITUT FOURIER, 2003, 53 (03) : 787 - +
  • [8] Equifocality of a singular Riemannian foliation
    Alexandrino, Marcos M.
    Toeben, Dirk
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (09) : 3271 - 3280
  • [9] The modular class of a singular foliation
    Lavau, Sylvain
    JOURNAL OF GEOMETRY AND PHYSICS, 2023, 192
  • [10] ON THE FUNDAMENTAL GROUP OF A SINGULAR FOLIATION
    EECKE, PV
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 301 (18): : 837 - 840
12345