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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 |
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jms030207.pdf (135.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 | 415 | |||||
主題Scheme | NDC | |||||
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 |