Intersection theory on mixed curves

Kodai Mathematical Journal

Mutsuo Oka¹ 

[1] Department of Mathematics Tokyo University of Science

关键词: Mixed curves;    intersection number;    multiplicity with sign;   

DOI  :  10.2996/kmj/1341401050

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(6)We consider two mixed curves C, C′ ⊂ C2 which are defined by mixed functions of two variables z = (z1, z2). We have shown in [4], that they have canonical orientations. If C and C′ are smooth and intersect transversely at P, the intersection number Itop(C, C′; P) is topologically defined. We will generalize this definition to the case when the intersection is not necessarily transversal or either C or C′ may be singular at P using the defining mixed polynomials.

【 授权许可】

Unknown