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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| PRIMS_58-4-1.pdf | 159.94 kB | Adobe PDF | 見る/開く |
| タイトル: | Subadjunction for Quasi-Log Canonical Pairs and Its Applications |
| 著者: | Fujino, Osamu    https://orcid.org/0000-0002-5958-0201 (unconfirmed) |
| 著者名の別形: | 藤野, 修 |
| キーワード: | 14J17 14E30 subadjunction quasi-log canonical pairs simply connectedness rationally chain connectedness Fano varieties cone theorem lengths of extremal rational curves Mori hyperbolicity |
| 発行日: | 4-Nov-2022 |
| 出版者: | European Mathematical Society Publishing House Research Institute for Mathematical Sciences of Kyoto University |
| 誌名: | Publications of the Research Institute for Mathematical Sciences |
| 巻: | 58 |
| 号: | 4 |
| 開始ページ: | 669 |
| 終了ページ: | 691 |
| 抄録: | We establish a kind of subadjunction formula for quasi-log canonical pairs. As an application, we prove that a connected projective quasi-log canonical pair whose quasi-log canonical class is anti-ample is simply connected and rationally chain connected. We also supplement the cone theorem for quasi-log canonical pairs. More precisely, we prove that every negative extremal ray is spanned by a rational curve. Finally, we treat the notion of Mori hyperbolicity for quasi-log canonical pairs. |
| 著作権等: | This PDF is the author accepted manuscript of the following paper: https://doi.org/10.4171/prims/58-4-1. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/278341 |
| DOI(出版社版): | 10.4171/PRIMS/58-4-1 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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