Singular Poisson structures

被引:5
|
作者
Stolovitch, L [1 ]
机构
[1] Univ Toulouse 3, Lab Emile Picard, CNRS, UMR 5580, F-31062 Toulouse, France
关键词
D O I
10.1017/S0143385703000804
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We are interested in analytic singular Poisson structures with a non-zero linear part at the singularity. Using recent work by the author about holomorphic normalization of commutative families of singular vector fields, we obtain results about the normalization of holomorphic Poisson structures.
引用
收藏
页码:1833 / 1863
页数:31
相关论文
共 50 条
  • [41] AFFINOID POISSON STRUCTURES
    DAZORD, P
    LU, JH
    SONDAZ, D
    WEINSTEIN, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1991, 312 (07): : 523 - 527
  • [42] POISSON STRUCTURES OF SUPERFLUIDS
    HOLM, DD
    KUPERSHMIDT, BA
    PHYSICS LETTERS A, 1982, 91 (09) : 425 - 430
  • [43] Quivers and Poisson structures
    Roger Bielawski
    Manuscripta Mathematica, 2013, 141 : 29 - 49
  • [44] Polarized Poisson structures
    Azzouz Awane
    Benali Ismail
    El Amine Souhaila
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021, 62 : 799 - 813
  • [45] AFFINE POISSON STRUCTURES
    BHASKARA, KH
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1990, 100 (03): : 189 - 202
  • [46] Transposed Poisson Structures
    Beites, Patricia Damas
    Ferreira, Bruno Leonardo Macedo
    Kaygorodov, Ivan
    RESULTS IN MATHEMATICS, 2024, 79 (02)
  • [47] Polarized Poisson structures
    Awane, Azzouz
    Ismail, Benali
    Souhaila, El Amine
    BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2021, 62 (04): : 799 - 813
  • [48] TORIC POISSON STRUCTURES
    Caine, Arlo
    MOSCOW MATHEMATICAL JOURNAL, 2011, 11 (02) : 205 - 229
  • [49] Singular reduction of Nambu-Poisson manifolds
    Das, Apurba
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (09)
  • [50] On the Poisson integral and singular lines of analytic functions
    Fatou, P
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1905, 140 : 359 - 360