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タイトル: Noether's problem and rationality problem for multiplicative invariant fields: a survey (Algebraic Number Theory and Related Topics 2016)
著者: Hoshi, Akinari
著者名の別形: 星, 明考
キーワード: 11E72
12F12
13A50
14E08
14F22
14M20
20J06
Noether's problem
Rationality problem
multiplicative invariant field
unramified Brauer group
Bogomolov multiplier
unramified cohomology group
発行日: Apr-2020
出版者: Research Institute for Mathematical Sciences, Kyoto University
誌名: 数理解析研究所講究録別冊
巻: B77
開始ページ: 29
終了ページ: 53
抄録: In this paper, we give a brief survey of recent developments on Noether's problem and rationality problem for multiplicative invariant fields including author's recent papers Hoshi [Hos15] about Noether's problem over Q, Hoshi, Kang and Kunyavskii [HKK13], Chu, Hoshi, Hu and Kang [CHHK15], Hoshi [Hos16] and Hoshi, Kang and Yamasaki [HKY16] about Noether's problem over C, and Hoshi, Kang and Kitayama [HKK14] and Hoshi, Kang and Yamasaki [HKY] about rationality problem for multiplicative invariant fields.
記述: "Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
著作権等: © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/260610
出現コレクション:B77 Algebraic Number Theory and Related Topics 2016

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