论文标题

Tschebotarow的“分解和关键流形问题”的翻译

Translation of Tschebotarow's "The Problem of Resolvents and Critical Manifolds"

论文作者

Knight, Hannah

论文摘要

这是Tschebotarow/Chebotarev的“分解和关键流形问题”的英文翻译。在本文中,Chebotarev解释了他使用关键流形的解决问题的工作。 Chebotarev在此处解决的解决问题引起了当前的回避程度和基本维度的想法。 Chebotarev的原始摘要:“本文致力于研究解决问题的问题,即通过给定方程来找到分解的问题,其系数取决于几个独立的参数,该系数中的参数数量是尽可能小。

This is an English translation of "The Problem of Resolvents and Critical Manifolds" by Tschebotarow/Chebotarev. In this article, Chebotarev explains his work on resolvent problems using critical manifolds. The current ideas of resolvent degree and essential dimension arose out of the resolvent problems Chebotarev addresses here. Original abstract by Chebotarev: "This paper is devoted to the study of the problem of resolvents, i.e., the problem of finding the resolvent by a given equation, whose coefficients depend on several independent parameters, the number of parameters in the coefficients being as small as possible. The author connects the problem to the study of critical manifolds in the space of equation parameters."

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源