Noether's problem for cyclic groups of prime order

被引：1
|
作者：
Kang, Ming-chang [1 ]
机构：
[1] Natl Taiwan Univ, Dept Math, Taipei, Taiwan
来源：
ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 01期
关键词：
Noether's problem; Rationality problem; Unramified primes; FIELDS;
D O I：
10.1007/s00013-017-1123-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k be a field and be the rational function field of p variables over k where p is a prime number. Suppose that acts on by k-automorphisms defined as . Denote by P the set of all prime numbers and define is of class number one where a primitive n-th root of unity in for a positive integer n; is a finite set by Masley and Montgomery (J Reine Angew Math 286/287:248-256, 1976). Theorem. Let k be an algebraic number field and is ramified in . Then is not stably rational over k for all p is an element of P\(P-0 boolean OR P-k).
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页码：1 / 8
页数：8
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