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Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance
http://hdl.handle.net/2261/00080001
http://hdl.handle.net/2261/000800019acb4933-024f-4dc3-b305-5bc447980d30
名前 / ファイル | ライセンス | アクション |
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jms260301.pdf (657.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2020-12-22 | |||||
タイトル | ||||||
タイトル | Chern Class and Riemann-Roch Theorem for Cohomology Theory without Homotopy Invariance | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | $K$-theory | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | cohomology theory | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Chern class | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Riemann-Roch theorem | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Asakura Masanori
× Asakura Masanori× Sato, Kanetomo× Hagihara, Kei |
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著者所属 | ||||||
著者所属 | Department of Mathematics, Hokkaido University | |||||
著者所属 | ||||||
著者所属 | Department of Mathematics, Chuo University | |||||
著者所属 | ||||||
著者所属 | Mathematical Science Team, RIKEN Center for Advanced Intelligence Project (AIP) | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, we formulate axioms of certain graded cohomology theory and define higher Chern class maps following the method of Gillet [Gi1]. We will not include homotopy invariance nor purity in our axioms. It will turn out that the Riemann-Roch theorem without denominators holds for our higher Chern classes. We will give two applications of our Riemann-Roch results in $\S\S11-13$. | |||||
書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 26, 号 3, p. 249-334, 発行日 2019-12-20 |
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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 | |||||
Mathmatical Subject Classification | ||||||
14C40(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
19E20(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2015-09-15 |