Approximation by smooth curves near the tangent cone

被引：1
|
作者：
Mavlyutov, AR [1 ]
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
来源：
JOURNAL OF ALGEBRA | 2003年 / 266卷 / 01期
关键词：
tangent cone; multiplicity of intersection; deformations of algebras;
D O I：
10.1016/S0021-8693(03)00329-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that through a point of an affine variety there always exists a smooth plane curve inside the ambient affine space, which has the multiplicity of intersection with the variety at least 3. This result has an application to the study of affine schemes. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：154 / 161
页数：8
相关论文
共 50 条
  • [41] Tangent curves to degenerating hypersurfaces
    Barrott, Lawrence Jack
    Nabijou, Navid
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (793): : 185 - 224
  • [42] On entire curves tangent to a foliation
    Brunella, Marco
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, 47 (04): : 717 - 734
  • [43] CURVES WITH LARGE TANGENT SPACE
    BECKER, J
    GURJAR, R
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 242 (AUG) : 285 - 296
  • [44] A fast near-optimal algorithm for approximation of polygonal curves
    Kolesnikov, A
    Fränti, P
    16TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITON, VOL IV, PROCEEDINGS, 2002, : 335 - 338
  • [45] Optimal approximation order of points on smooth curves in tridimensional euclides space
    Beresnevich, VV
    DOKLADY AKADEMII NAUK BELARUSI, 1999, 43 (04): : 9 - 13
  • [46] Piecewise smooth approximation of bottom-up abatement cost curves
    Kiuila, O.
    Rutherford, T. F.
    ENERGY ECONOMICS, 2013, 40 : 734 - 742
  • [47] On the near optimality of the stochastic approximation of smooth functions by neural networks
    Maiorov, VE
    Meir, R
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2000, 13 (01) : 79 - 103
  • [48] On the approximation order of tangent estimators
    Albrecht, G.
    Becar, J. -P.
    Farin, G.
    Hansford, D.
    COMPUTER AIDED GEOMETRIC DESIGN, 2008, 25 (02) : 80 - 95
  • [49] On the near optimality of the stochastic approximation of smooth functions by neural networks
    V.E. Maiorov
    R. Meir
    Advances in Computational Mathematics, 2000, 13 : 79 - 103
  • [50] MATHEMATICAL APPROXIMATION OF THE HYPERBOLIC TANGENT
    Dhieb, Mohamed
    Lahiani, Mongi
    Ghariani, Hamadi
    2009 6TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS AND DEVICES, VOLS 1 AND 2, 2009, : 929 - 934
12345