投影曲线相交重数及其计算

Intersection Multiplicity of Projective Curves and Its Calculation

由直线与投影曲线相交重数的定义入手,通过添加适当的投影变换推导出两条投影曲线相交重数的定义,同时指出二者在本质上是相同的,进而根据投影曲线相交重数的性质总结出其计算方法,并以例题示范计算过程.

The definition of intersection multiplicity of two projective curves can be deduced from the definition of intersection multiplicity of a line and a curve through adding aproperty projective transformation.The algorithm of intersection multiplicity is given by its properties,and the calculation process will be presented with examples.