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Residues of Chern classes
http://hdl.handle.net/10191/5673
http://hdl.handle.net/10191/5673f79d516f-13af-49f8-8ee5-9afc46137b93
名前 / ファイル | ライセンス | アクション |
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6_0021.pdf (2.2 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-04-08 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Residues of Chern classes | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Chern class | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | frames of vector bundles | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | localization | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Grothendieck residues relative to subvarieties | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Suwa, Tatsuo
× Suwa, Tatsuo |
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著者別名 | ||||||
識別子 | 7031 | |||||
識別子Scheme | WEKO | |||||
姓名 | 諏訪, 立雄 | |||||
言語 | ja | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | If we have a finite number of sections of a complex vector bundle E over a manifold M, certain Chern classes of E are localized at the singular set S, i.e., the set of points where the sections fail to be linearly independent. When S is compact, the localizations define the residues at each connected component of S by the Alexander duality. If M itself is compact, the sum of the residues is equal to the Poincaré dual of the corresponding Chern class. This type of theory is also developed for vector bundles over a possibly singular subvariety in a complex manifold. Explicit formulas for the residues at an isolated singular point are also given, which express the residues in terms of Grothendieck residues relative to the subvariety. | |||||
言語 | en | |||||
書誌情報 |
en : Journal of the Mathematical Society of Japan 巻 55, 号 1, p. 269-287, 発行日 2003 |
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出版者 | ||||||
言語 | en | |||||
出版者 | Mathematical Society of Japan | |||||
ISSN | ||||||
収録物識別子タイプ | PISSN | |||||
収録物識別子 | 0025-5645 | |||||
ISSN | ||||||
収録物識別子タイプ | EISSN | |||||
収録物識別子 | 1881-1167 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0070177X | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://doi.org/10.2969/jmsj/1160745811 | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
著者版フラグ | ||||||
値 | publisher |