论文标题
平面和空间曲线的几何不变
Geometric Invariants of Plane and Space Curves
论文作者
论文摘要
平面和空间代数曲线的传统研究通过查看其切线向量，曲线和扭转提供了几何形状，但不幸的是，有关单个曲线的足够信息，以便能够区分两个不同的曲线。本注的目的是将曲率和扭转的经典概念概括为所谓的更高代数曲率，并表明复杂曲线的每个分析分支已经由它们独特地定义。
The traditional study of plane and space algebraic curves by looking at their tangent vectors, curvatures and torsions provides geometric, but unfortunately not sufficient information about individual curves in order to be able to distinguish between two different ones. The aim of this note is to generalize the classical concept of curvature and torsion to so-called higher algebraic curvatures and to show that each analytic branch of a complex curve is already uniquely defined by them.
