| 书目名称 | Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck | | 编辑 | Jean-Michel Bismut,Shu Shen,Zhaoting Wei | | 视频video | | | 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 | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 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 | | 关键词 | 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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书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck影响因子(影响力)
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck影响因子(影响力)学科排名
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck网络公开度
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck网络公开度学科排名
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck被引频次
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck被引频次学科排名
书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck年度引用
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书目名称Coherent Sheaves, Superconnections, and Riemann-Roch-Grothendieck读者反馈
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发表于 2025-3-21 19:46:48
