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On resolving singularities of plane curves via a theorem attributed to Alfred Clebsch
Historia Mathematica ( IF 0.5 ) Pub Date : 2021-03-22 , DOI: 10.1016/j.hm.2021.02.001
David E. Rowe

This paper discusses a theorem in birational geometry that J.L. Coolidge attributed to Alfred Clebsch. The background is reconstructed from letters Felix Klein exchanged with Max Noether in 1894, when Noether was completing work on a lengthy report with Alexander Brill on the history of algebraic functions. Noether was deeply troubled to learn that Klein had informed him back in 1869 about relevant results that Clebsch and Leopold Kronecker had discussed in Berlin. These exchanges with Klein led to revisions in the Brill-Noether report, made in part to ensure Noether's own priority rights and larger intellectual legacy.



中文翻译:

通过归因于Alfred Clebsch的定理解决平面曲线的奇异性

本文讨论了JL Coolidge归因于Alfred Clebsch的双等几何定理。背景是从1894年菲利克斯·克莱因(Felix Klein)与马克斯·诺瑟(Max Noether)交换来的信中重建的,当时诺瑟正在与亚历山大·布里尔(Alexander Brill)完成关于代数函数历史的冗长报告。Noether对于得知Klein早在1869年就将Clebsch和Leopold Kronecker在柏林讨论过的有关结果告知他一事深感困扰。与Klein的这些交流导致对Brill-Noether报告的修改,部分是为了确保Noether拥有自己的优先权和更大的知识遗产。

更新日期:2021-05-22
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