武汉大学主页平台管理系统 An Fengwen--Home-- Transcendental Galois Theory and Noether's Problem

Personal Information

Gender:
Male
Contact Information:
Dr. Feng-Wen An ********************************************** School of Mathematics and Statistics Wuhan University Wuhan, Hubei 430072 People's Republic China ********************************************** email:fwan at amss dot ac dot cn
Discipline:
Basic Mathematics
Status:
Employed
Education Level:
研究生毕业
Status:
Employed
Discipline:
1 Basic Mathematics
Contact Information:
Dr. Feng-Wen An ********************************************** School of Mathematics and Statistics Wuhan University Wuhan, Hubei 430072 People's Republic China ********************************************** email:fwan at amss dot ac dot cn

Journal:
submitted.
Key Words:
Noether problem; transcendental Galois theory; transcendental number theory; K-theory.
Abstract:
In 1918, Noether published a paper where she studied such a problem, now called Noether's problem on rationality. In this paper we will attempt to understand a general theory for Noether's problem on rationality by transcendental Galois theory. Then new particular cases will be obtained. We will also give a generalisation for the remarkable counter-example given by Swan in 1969.
Indexed by:
Journal paper
Discipline:
Natural Science
First-Level Discipline:
Mathematics
Translation or Not:
no