代数曲线的相交重数

doi:10.13371/j.cnki.chin.q.j.m.2019.01.002

数学季刊 ›› 2019, Vol. 34 ›› Issue (1): 14-20.doi: 10.13371/j.cnki.chin.q.j.m.2019.01.002

代数曲线的相交重数

Shandong Vocational College of Science and Technology

接受日期:2016-05-07 出版日期:2019-03-30 发布日期:2020-10-06
作者简介: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.
基金资助:
Teaching reform research project of Shandong vocational education(2017228)；

On Intersection Multiplicity of Algebraic Curves

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)；

摘要/Abstract

摘要： In this paper, we study the intersection multiplicity of algebraic curves at a point both in R² and in real projective plane P². 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.

关键词: Algebraic curves, intersection multiplicity, projective transformation, d-fold point

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

中图分类号:

O186.11

梁宏昌. 代数曲线的相交重数[J]. 数学季刊, 2019, 34(1): 14-20.

LIANG Hong-Chang. On Intersection Multiplicity of Algebraic Curves[J]. Chinese Quarterly Journal of Mathematics, 2019, 34(1): 14-20.

[1]	姬秀, 胡传峰. R⁷中的Laguerre等参超曲面[J]. 数学季刊, 2014, 29(4): 486-500.
[2]	黄荣培, 廖蔡生, 商东虎. Anti-de Sitte:空间H³₁中的广义弹性曲线[J]. 数学季刊, 2011, 26(2): 311-316.
[3]	柳朝阳. NURBS曲线保凸性质的几何证明[J]. 数学季刊, 2006, 21(1): 44-48.
[4]	潘生亮, 杨娟娜. 经典等周不等式的又一简单初等的证明[J]. 数学季刊, 2005, 20(2): 128-130.

代数曲线的相交重数

On Intersection Multiplicity of Algebraic Curves

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

编辑推荐

Metrics

本文评价