STANDARD BASES, CRITICAL TROPISMS AND FLATNESS

被引:8
|
作者
ASSI, A [1 ]
机构
[1] UNIV NICE SOPHIA ANTIPOLIS,LAB J A DIEUDONNE,CNRS,URA 168,F-06108 NICE 02,FRANCE
关键词
HIRONAKA DIVISION; STANDARD BASES; NEWTON POLYGON; CRITICAL TROPISMS; GENERIC FLATNESS;
D O I
10.1007/BF01202038
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Using the standard basis notion, we adapt to the affine algebraic geometry the notion of the critical tropisms of Lejeune-Teissier and we give some effective criteria for testing geometrical properties for the generic projection X = Spec K[t1,...,t(m)] [x1,...,x(n)]/I --> Y = Spec K[t1,...,t(m)].
引用
收藏
页码:197 / 215
页数:19
相关论文
共 50 条
  • [41] On standard bases in rings of differential polynomials
    Zobnin A.I.
    Journal of Mathematical Sciences, 2006, 135 (5) : 3327 - 3335
  • [42] Critical bases for ternary alphabets
    Komornik, V.
    Pedicini, M.
    ACTA MATHEMATICA HUNGARICA, 2017, 152 (01) : 25 - 57
  • [43] Critical bases for ternary alphabets
    V. Komornik
    M. Pedicini
    Acta Mathematica Hungarica, 2017, 152 : 25 - 57
  • [44] Standard bases for modules over polynomial subalgebras
    Kanwal, Nazish
    Jabeen, Nazia
    Khan, Junaid Alam
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (01) : 58 - 72
  • [45] Standard Bases for Tensor Products of Exterior Powers
    Roger Howe
    Sangjib Kim
    Soo Teck Lee
    Algebras and Representation Theory, 2020, 23 : 715 - 738
  • [46] HOMOGENEOUS POLYNOMIAL IDEALS - STANDARD BASES AND LIAISON
    CAMPANELLA, G
    JOURNAL OF PURE AND APPLIED ALGEBRA, 1990, 64 (02) : 119 - 130
  • [47] To increase reliability of certification of standard geodetic bases
    Pushkaryov, GP
    Kostrikov, AL
    Kupko, VS
    2000 CONFERENCE ON PRECISION ELECTROMAGNETIC MEASUREMENTS DIGEST, 2000, : 273 - 274
  • [48] Multivariate interpolation and standard bases for Macaulay modules
    Cerlienco, L
    Mureddu, M
    JOURNAL OF ALGEBRA, 2002, 251 (02) : 686 - 726
  • [49] General version of standard bases in linear structures
    Latyshev, TN
    ALGEBRA, 2000, : 215 - 226
  • [50] Standard Bases for Tensor Products of Exterior Powers
    Howe, Roger
    Kim, Sangjib
    Lee, Soo Teck
    ALGEBRAS AND REPRESENTATION THEORY, 2020, 23 (03) : 715 - 738