An algebraic algorithm for the resolution of singularities of foliations

被引：0
|
作者：
S. C. Coutinho
R. M. Oliveira
机构：
[1] Universidade Federal do Rio de Janeiro,Departamento de Ciência da Computação, Instituto de Matemática
[2] Programa de Engenharia de Sistemas e Computação,undefined
[3] COPPE,undefined
[4] UFRJ,undefined
来源：
Applicable Algebra in Engineering, Communication and Computing | 2008年 / 19卷
关键词：
Blowup; Foliation; Gröbner bases; Primary: 34M35; 37F75; Secondary: 32S45; 13P10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose an algorithm that uses Gröbner bases to compute the resolution of the singularities of a foliation of the complex projective plane.
引用
收藏
页码：475 / 493
页数：18
相关论文
共 50 条
  • [1] An algebraic algorithm for the resolution of singularities of foliations
    Coutinho, S. C.
    Oliveira, R. M.
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2008, 19 (06) : 475 - 493
  • [2] The resolution of singularities of an Algebraic curve
    Muhly, HT
    Zariski, O
    AMERICAN JOURNAL OF MATHEMATICS, 1939, 61 : 107 - 114
  • [3] Algebraic Methods in Geometry: Commutative and Homological Algebra in Foliations and Singularities
    del Angel, Pedro Luis
    Ortiz-Bobadilla, Laura
    Seade, Jose
    Verjovsky, Alberto
    JOURNAL OF SINGULARITIES, 2014, 9 : I - ii
  • [4] Symplectic resolution of isolated algebraic singularities
    McCarthy, JD
    Wolfson, JG
    GEOMETRY, TOPOLOGY AND DYNAMICS, 1998, 15 : 101 - 105
  • [5] A simplified proof for the resolution of singularities of an algebraic surface
    Zariski, O
    ANNALS OF MATHEMATICS, 1942, 43 : 583 - 593
  • [6] Improved algorithm for the resolution of singularities
    Bodnar, Gabor
    Schicho, Josef
    Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC, 2000, : 30 - 37
  • [7] On foliations with Morse singularities
    Camacho, Cesar
    Scardua, Bruno
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (11) : 4065 - 4073
  • [8] Singularities of logarithmic foliations
    Cukierman, F
    Soares, MG
    Vainsencher, I
    COMPOSITIO MATHEMATICA, 2006, 142 (01) : 131 - 142
  • [9] Foliations with persistent singularities
    Massri, Cesar
    Molinuevo, Ariel
    Quallbrunn, Federico
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (06)
  • [10] On the resolution of singularities of one-dimensional foliations on three-manifolds
    Rebelo, Julio C.
    Reis, H.
    RUSSIAN MATHEMATICAL SURVEYS, 2021, 76 (02) : 291 - 355
12345