2009年
The rationality problem for four-dimensional linear actions
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
- ,
- 巻
- 49
- 号
- 2
- 開始ページ
- 359
- 終了ページ
- 380
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- KINOKUNIYA CO LTD
Let C be a finite subgroup of GL(4, Q). Let G act on the rational function field Q(x(1), x(2), x(3), x(4)) by Q-automorphism defined by the linear action of variables. Linear Noether's problem asks whether the fixed field Q(x(1), x(2), x(3), x(4))(G) is rational (i.e. purely transcendental) over Q. So far some partial results have been known, but in this paper we will give the almost complete results of this problem. One of motivations of this problem is the relation to the inverse Galois problem.
- リンク情報
- ID情報
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- ISSN : 0023-608X
- Web of Science ID : WOS:000271406900009