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Classfication of elliptic and K3 fibrations birational to some Q-Fano 3 folds
http://hdl.handle.net/2261/7528
http://hdl.handle.net/2261/7528a3cca657-3e74-490b-81e5-916776bb0145
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms130102.pdf (245.3 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Classfication of elliptic and K3 fibrations birational to some Q-Fano 3 folds | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Daniel, Ryder
× Daniel, Ryder |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | A complete classification is presented of elliptic and K3 fibrations birational to certain mildly singular complex Fano 3-folds. Detailed proofs are given for one example case, namely that of a general hypersurface $X$ of degree 30 in weighted $\PP^4$ with weights 1,4,5,6,15; but our methods apply more generally. For constructing birational maps from $X$ to elliptic and K3 fibrations we use Kawamata blowups and Mori theory to compute anticanonical rings; to exclude other possible fibrations we make a close examination of the strictly canonical singularities of $\XnH$, where $\HH$ is the linear system associated to the putative birational map and $n$ is its anticanonical degree. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 13, 号 1, p. 13-42, 発行日 2006-03-21 |
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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 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathmatical Subject Classification | ||||||
| 14E05(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 14J30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 14E30(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2005-10-14 | ||||||
