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Minimal Discrepancy for a Terminal cDV Singularity Is 1
http://hdl.handle.net/2261/1535
http://hdl.handle.net/2261/15359efa9d21-7390-421f-972b-5ee67c473179
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms030207.pdf (135.8 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 | Minimal Discrepancy for a Terminal cDV Singularity Is 1 | |||||
| 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 |
Markushevich, Dimitri
× Markushevich, Dimitri |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | An answer to a question raised by Shokurov on the minimal discrepancy of a terminal singularity of index 1 is given. It is proved that the minimal discrepancy is 1 (it is 2 for a non-singular point and 0 for all other canonical singularities of index 1). A rough classification of terminal singularities of index 1 based on finding certain low degree monomials in their equations, and the toric techniques of weighted blow ups are used. This result has been generalized to terminal singularities of index $r>1$ by Y.Kawamata; his theorem states that the minimal discrepancy is $1/r$. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 2, p. 445-456, 発行日 1996 |
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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 | |||||
| Mathematical Reviews Number | ||||||
| MR1424437 | ||||||
| Mathmatical Subject Classification | ||||||
| 14E30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 14J30(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1995-11-07 | ||||||
