19世纪复几何的起源
The Origins of Complex Geometry in the 19th Century
摘要:
本文概述了19世纪导致20世纪复杂几何的几个关键创新。这包括创造的复平面,工作阿贝尔除了定理广义椭圆积分,理论的椭圆函数,全纯函数,并创造黎曼曲面的黎曼在19世纪中期。一些原始文件,其中包含这些新的想法看起来在一些细节和一套详细的参考资料。
英文摘要:
This paper gives an overview of several key innovations in the 19th century which led to complex geometry in the 20th century. This includes the creation of the complex plane, the work of Abel on addition theorems for generalized elliptic integrals, the theory of elliptic functions, holomorphic functions, and the creation of Riemann surfaces by Riemann in the mid 19th century. A number of the original papers which contain these new ideas are looked at in some detail and a detailed set of references is included.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。