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Polystable Log Calabi-Yau Varieties and Gravitational Instantons
http://hdl.handle.net/2261/0002007502
http://hdl.handle.net/2261/0002007502b3f84f4a-012b-4cf9-b3b9-1bd729d53010
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms290101.pdf (319.2 KB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
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| 公開日 | 2023-05-16 | |||||||
| タイトル | ||||||||
| タイトル | Polystable Log Calabi-Yau Varieties and Gravitational Instantons | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | K-stability | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | log Calabi-Yau varieties | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | Ricci-flat Kähler metrics | |||||||
| キーワード | ||||||||
| 言語 | en | |||||||
| 主題Scheme | Other | |||||||
| 主題 | gravitational | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | departmental bulletin paper | |||||||
| 著者 |
Odaka, Yuji
× Odaka, Yuji
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| 著者所属 | ||||||||
| 言語 | en | |||||||
| 著者所属 | Department of Mathematics, Kyoto university | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | Open Calabi-Yau manifolds and log Calabi-Yau varieties have been broadly studied over decades. Regarding them as “semistable” objects, we propose to consider their good proper subclass, which we regard as certain polystable ones, morally corresponding to semistable with closed (minimal) orbits as the classical analogue of GIT. We partially confirm that the new polystability seems equivalent to the existence of non-compact complete Ricci-flat Kähler metrics with small volume growths, notably many examples of gravitational instantons. Also, we prove some compactness or polystable reduction type results, partially motivated by bubbles of compact Ricci-flat metrics. |
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| 言語 | en | |||||||
| 書誌情報 |
en : Journal of Mathematical Sciences The University of Tokyo 巻 29, 号 1, p. 1-50, 発行日 2022-05-02 |
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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 | |||||||
| Mathmatical Subject Classification | ||||||||
| en | ||||||||
| 14J32(MSC2020) | ||||||||
| Mathmatical Subject Classification | ||||||||
| en | ||||||||
| 14L24(MSC2020) | ||||||||
| Mathmatical Subject Classification | ||||||||
| en | ||||||||
| 32Q20(MSC2020) | ||||||||
| 出版者 | ||||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||||
| 言語 | en | |||||||
| 原稿受領日 | ||||||||
| 2020-10-20 | ||||||||
