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Plane sextics with a type ${\\bold E}_8$ singular point
http://hdl.handle.net/10097/00106108
http://hdl.handle.net/10097/001061083ed41a43-06b2-4fea-8140-a5dafb5310bb
| 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 | Plane sextics with a type ${\\bold E}_8$ singular point | |||||||
| 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 |
Degtyarev, Alex
× Degtyarev, Alex
|
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| 著者所属(英) | ||||||||
| en | ||||||||
| Department of Mathematics, Bilkent 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 | We construct explicit geometric models for and compute the fundamental groups of all plane sextics with simple singularities only and with at least one type $\bold{E}_8$ singular point. In particular, we discover four new sextics with nonabelian fundamental groups; two of them are irreducible. The groups of the two irreducible sextics found are finite. The principal tool used is the reduction to trigonal curves and Grothendieck's dessins d'enfants. | |||||||
| 書誌情報 |
東北數學雜誌. Second series en : Tohoku mathematical journal. Second series 巻 62, 号 3, p. 329-355, 発行日 2010-09-01 |
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| URL | ||||||||
| 識別子 | J-STAGE | https://www.jstage.jst.go.jp/article/tmj/62/3/62_329/_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 | |||||||
