Chinese Quarterly Journal of Mathematics ›› 2019, Vol. 34 ›› Issue (1): 14-20.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.002

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On Intersection Multiplicity of Algebraic Curves

  

  1. Shandong Vocational College of Science and Technology
  • Accepted:2016-05-07 Online:2019-03-30 Published:2020-10-06
  • About author:LIANG Hong-chang(1981-), male, born in Weifang, Shandong Province, lecturer of Shandong Vocational College of Science and Technology, engaged in teaching of Higher Mathematics.
  • Supported by:
    Teaching reform research project of Shandong vocational education(2017228);

Abstract: In this paper, we study the intersection multiplicity of algebraic curves at a point both in R~2 and in real projective plane P~2. We introduce the fold point of curves and provide conditions for the relations between the intersection multiplicity of curves at a point and the folds of the point. 

Key words: Algebraic curves, intersection multiplicity, projective transformation, d-fold point

CLC Number: