2008年7月
Rationality problem of three-dimensional purely monomial group actions: the last case
MATHEMATICS OF COMPUTATION
- ,
- 巻
- 77
- 号
- 263
- 開始ページ
- 1823
- 終了ページ
- 1829
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1090/S0025-5718-08-02069-3
- 出版者・発行元
- AMER MATHEMATICAL SOC
A k-automorphism sigma of the rational function field k(x(1), ... , x(n)) is called purely monomial if s sends every variable xi to a monic Laurent monomial in the variables x(1), ... , x(n). Let G be a finite subgroup of purely monomial k- automorphisms of k(x(1), ... , x(n)). The rationality problem of the G-action is the problem of whether the G- fixed field k( x(1), ... , x(n)) G is k- rational, i.e., purely transcendental over k, or not. In 1994, M. Hajja and M. Kang gave a positive answer for the rationality problem of the three-dimensional purely monomial group actions except one case. We show that the remaining case is also affirmative.
- リンク情報
- ID情報
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- DOI : 10.1090/S0025-5718-08-02069-3
- ISSN : 0025-5718
- Web of Science ID : WOS:000257559400031