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Lifting of the additive group scheme actions
http://hdl.handle.net/10097/00106075
http://hdl.handle.net/10097/001060758256244d-62d3-4626-b61f-f7c0c1188f73
| Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-04-07 | |||||
| タイトル | ||||||
| タイトル | Lifting of the additive group scheme actions | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| アクセス権 | ||||||
| アクセス権 | metadata only access | |||||
| アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
| 雑誌書誌ID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00863953 | |||||
| 著者 |
Masuda, Kayo
× Masuda, Kayo× Miyanishi, Masayoshi |
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| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | School of Science and Technology , Kwansei Gakuin University | |||||
| 著者所属(英) | ||||||
| 言語 | en | |||||
| 値 | School of Science and Technology, Kwansei Gakuin University | |||||
| 記事種別(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Article | |||||
| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Let $B$ be a normal affine $\boldsymbol{C}$-domain and let $A$ be a $\boldsymbol{C}$-subalgebra of $B$ such that $B$ is a finite $A$-module. Let $\delta$ be a locally nilpotent derivation on $A$. Then $\delta$ lifts uniquely to the quotient field $L$ of $B$, which we denote by $\Delta$. We consider when $\Delta$ is a locally nilpotent derivation of $B$. This is a classical subject treated in [17, 19, 16]. We are interested in the case where $A$ is the $G$-invariant subring of $B$ when a finite group $G$ acts on $B$. As a related topic, we treat in the last section the finite coverings of log affine pseudo-planes in terms of the liftings of the $\boldsymbol{A}^1$-fibrations associated with locally nilpotent derivations. | |||||
| 書誌情報 |
東北數學雜誌. Second series en : Tohoku mathematical journal. Second series 巻 61, 号 2, p. 267-286, 発行日 2009-06-01 |
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| URL | ||||||
| 識別子 | J-STAGE | https://www.jstage.jst.go.jp/article/tmj/61/2/61_267/_article/-char/ja | |||||
| 識別子タイプ | URI | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00408735 | |||||
