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On the number of rational maps between varieties of general type
http://hdl.handle.net/2261/1579
http://hdl.handle.net/2261/15797070ed6a-6abd-429a-b233-1940af7534d2
名前 / ファイル | ライセンス | アクション |
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jms010208.pdf (124.7 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 | On the number of rational maps between varieties of general type | |||||
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 |
Bandman, T.
× Bandman, T. |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let $X,Y$ be two complex projective varieties with only canonical singularities and big and nef canonical line bundles $K_X , K_Y$. Then the set $R(X,Y)$ of all dominant rational maps $f : X \to Y$ is finite. We prove that the number $\# R(X,Y)$ of this maps has the upper estimate, which depends only on the dimension $dim X=n$, selfintersection $K^n_X$ and product $r=r_Xr_Y$ of indices $r_X$ and $r_Y$ of varieties $X$ and $Y$. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 1, 号 2, p. 423-433, 発行日 1994 |
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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 | ||||||
MR1317467 | ||||||
Mathmatical Subject Classification | ||||||
14E05(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
14E09(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1993-11-15 |