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Uniformization of Cyclic Quotients of Multiplicative A-singularities
http://hdl.handle.net/2261/72645
http://hdl.handle.net/2261/72645a6ac0817-cebb-4a29-88aa-c6656e4bae0a
名前 / ファイル | ライセンス | アクション |
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jms230305.pdf (442.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-06-30 | |||||
タイトル | ||||||
タイトル | Uniformization of Cyclic Quotients of Multiplicative A-singularities | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Uniformization of singularity | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Monodromy | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Degeneration of Riemann surfaces | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Fractional Dehn twist | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Small group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Pseudo-reflection group | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Sasaki, Kenjiro
× Sasaki, Kenjiro× Takamura, Shigeru |
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著者所属 | ||||||
著者所属 | Department of Mathematics, Graduate School of Science, Kyoto University | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | This work is motivated by the canonical model of degenerations of Riemann surfaces. For a quotient space Ad−1/Γ of a 'multiplicative'A-singularity Ad−1 in Cn+1 under a certain cyclic group action Γ on Ad−1, we explicitly construct a small finite abelian subgroup G of GL(n, C) such that Ad−1/Γ ∼= Cn/G. A resolution of Cn/G gives a decomposition of the monodromy (a higher-dimensional fractional Dehn twist) of a degeneration Ad−1/Γ → C into subtwists along the exceptional set (it seems that T. Ashikaga’s work on resolutions is related to this). Moreover: (1) We give a numerical criterion for a certain subgroup of GL(n,C) to be small. (2) For a certain family of subgroups of GL(n, C), we show that if one subgroup of this family is small, then all subgroups of this family are small (equi-smallness theorem). | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 3, p. 675-726, 発行日 2016-06-24 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
32Q30(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14D05(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2015-05-28 |