Milnor number equals Tjurina number for functions on space curves

被引:24
|
作者
Mond, D [1 ]
Van Straten, D
机构
[1] Univ Warwick, Coventry CV4 7AL, W Midlands, England
[2] Univ Mainz, Fachbereich Math 17, D-55099 Mainz, Germany
关键词
D O I
10.1112/S0024610700001320
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved. As a consequence, the discriminant in such a situation is a free divisor.
引用
收藏
页码:177 / 187
页数:11
相关论文
共 50 条
  • [1] MILNOR NUMBER AND TJURINA NUMBER OF COMPLETE-INTERSECTIONS
    LOOIJENGA, E
    STEENBRINK, J
    MATHEMATISCHE ANNALEN, 1985, 271 (01) : 121 - 124
  • [2] On sextic curves with big Milnor number
    Bartolo, EA
    Ruber, JC
    Agustín, JIC
    TRENDS IN SINGULARITIES, 2002, : 1 - 29
  • [3] Freeness versus maximal global Tjurina number for plane curves
    Dimca, Alexandru
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017, 163 (01) : 161 - 172
  • [4] MILNOR NUMBER, EQUISINGULARITY AND DEFORMATIONS OF SINGULARITIES OF REDUCED CURVES
    BUCHWEITZ, RO
    GREUEL, GM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (01): : 35 - 38
  • [5] The Milnor number of a function on a space curve germ
    Nuno-Ballesteros, J. J.
    Tomazella, J. N.
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 : 129 - 138
  • [6] Bernstein polynomial and Tjurina number
    Hertling, C
    Stahlke, C
    GEOMETRIAE DEDICATA, 1999, 75 (02) : 137 - 176
  • [7] Quasi-complete intersections and global Tjurina number of plane curves
    Ellia, Ph
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (01) : 423 - 431
  • [8] Milnor Number and Milnor Classes
    Brasselet, Jean-Paul
    Seade, Jose
    Suwa, Tatsuo
    VECTOR FIELDS ON SINGULAR VARIETIES, 2009, 1987 : 193 - 200
  • [9] Bernstein Polynomial and Tjurina Number
    Claus Hertling
    Colin Stahlke
    Geometriae Dedicata, 1999, 75 : 137 - 176
  • [10] A formula for the Milnor number
    Luengo, I
    Melle, A
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 321 (11): : 1473 - 1478