| 書目名稱 | Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck | | 編輯 | Jean-Michel Bismut,Shu Shen,Zhaoting Wei | | 視頻video | http://file.papertrans.cn/230/229219/229219.mp4 | | 概述 | Presents a solution to a long-standing problem in complex algebraic geometry.Proves an RRG theorem for coherent sheaves of a compact complex manifold.Offers a valuable resource for many researchers in | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck? theorem.? One main tool used is the equivalence of categories established by Block between the derived category of bounded complexes with coherent cohomology and the homotopy category of antiholomorphic superconnections.? Chern-Weil theoretic techniques are then used to construct forms that represent the Chern character. The main theorem is then established using methods of analysis, by combining local index theory with the hypoelliptic Laplacian..Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck. is an important contribution to both the geometric and analytic study of complex manifolds and, as such, it will be a valuable resource formany researchers in geometry, analysis, and mathematical physics.?. | | 出版日期 | Book 2023 | | 關鍵詞 | Derived Categories; Riemann-Roch Theorems; Chern characters; Hypoelliptic equations; Coherent sheaves | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-27234-9 | | isbn_softcover | 978-3-031-27236-3 | | isbn_ebook | 978-3-031-27234-9Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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書目名稱Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck影響因子(影響力)
書目名稱Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck影響因子(影響力)學科排名
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書目名稱Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck網絡公開度學科排名
書目名稱Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck被引頻次
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書目名稱Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck讀者反饋
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