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QUASI-BIVARIANT CHERN CLASSES OBTAINED BY RESOLUTIONS OF SINGULARITIES : Dedicated to Professor Shoji Tsuboi on the occasion of his sixtieth birthday
http://hdl.handle.net/10232/802
http://hdl.handle.net/10232/802591694d5-439b-4e90-aa1c-e67b53712bd4
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00002363329.pdf (752.0 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
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| 公開日 | 2010-10-05 | |||||||
| タイトル | ||||||||
| タイトル | QUASI-BIVARIANT CHERN CLASSES OBTAINED BY RESOLUTIONS OF SINGULARITIES : Dedicated to Professor Shoji Tsuboi on the occasion of his sixtieth birthday | |||||||
| タイトル言語 | en | |||||||
| 著者 |
YOKURA, Shoji
× YOKURA, Shoji
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| 言語 | ||||||||
| 言語 | eng | |||||||
| 資源タイプ | ||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||
| 資源タイプ | departmental bulletin paper | |||||||
| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 要約 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | The bivariant theory was introduced by W. Fulton and R. MacPherson to unify both co variant and contravariant theories. They posed the problem of unique existence of a bivariant Chern class and J.-P. Brasselet showed the existence of a bivariant Chern class in the category of analytic varieties with cellular morphisms. The uniqueness problem is still open. In this paper, without assuming cellularness of morphisms, using resolution of singularites, we construct a quasi-bivariant theory F_∞ of constructive functions and a quasi-bivariant homology theory H_∞ and we show that there exists a unique quasi-Grothendieck transformation γ_∞ : F_∞ → H_∞ satisfying that γ_∞ for morphisms to a point becomes the Chern-Schwartz-MacPherson class transformation c_* : F → H_*. We also show that if a bivariant Chern class γ : F → H exists, then γ : F → H is uniquely embedded into γ_∞ : F_∞ → H_∞. | |||||||
| 内容記述言語 | en | |||||||
| 収録雑誌名 |
ja : 鹿児島大学理学部紀要 en : Reports of the Faculty of Science, Kagoshima University 巻 36, p. 17-28, 発行日 2003-12-30 |
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| 作成日 | ||||||||
| 日付 | 2003-12-30 | |||||||
| 日付タイプ | Issued | |||||||
| ISSN | ||||||||
| 収録物識別子タイプ | PISSN | |||||||
| ISSN | 13456938 | |||||||
| NII書誌ID（雑誌） | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| NC ID | AA11246904 | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | VoR | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| NDC | ||||||||
| 主題Scheme | NDC | |||||||
| 主題 | 400 | |||||||
| NIIsubject | ||||||||
| 主題言語 | ja | |||||||
| 主題Scheme | Other | |||||||
| 主題 | 自然科学 | |||||||
| 公開者・出版者 | ||||||||
| 出版者 | 鹿児島大学 | |||||||
| 出版者言語 | ja | |||||||
| 公開者・出版者 | ||||||||
| 出版者 | Kagoshima University | |||||||
| 出版者言語 | en | |||||||
