代数曲线的相交重数

梁宏昌

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

数学季刊 >

2019 , Vol. 34 >Issue 1: 14 - 20

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.01.002

代数曲线的相交重数

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Shandong Vocational College of Science and Technology

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.

录用日期: 2016-05-07

网络出版日期: 2020-10-06

基金资助

Teaching reform research project of Shandong vocational education(2017228)；

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On Intersection Multiplicity of Algebraic Curves

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Shandong Vocational College of Science and Technology

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.

Accepted date: 2016-05-07

Online published: 2020-10-06

Supported by

Teaching reform research project of Shandong vocational education(2017228)；

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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

本文引用格式

梁宏昌 . 代数曲线的相交重数[J]. 数学季刊, 2019 , 34(1) : 14 -20 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.01.002

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

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