书目名称 | The Bergman Kernel and Related Topics | 副标题 | Hayama Symposium on | 编辑 | Kengo Hirachi,Takeo Ohsawa,Joe Kamimoto | 视频video | | 概述 | Covers most area of the Bergman Kernel theory in complex analysis/geometry.Most of the authors are well-known experts who created the theory.Introductory surveys and research articles are both include | 丛书名称 | Springer Proceedings in Mathematics & Statistics | 图书封面 |  | 描述 | .This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman kernel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman kernel, covering topics in complex analysis, differential geometry, representation theory, PDE, operator theory, and complex algebraic geometry...Specifically, some papers address the .L.2. extension operators from a newly opened viewpoint after solving Suita‘s conjecture for the logarithmic capacity. They are also continuations of quantitative solutions to the openness conjecture for the multiplier ideal sheaves. The study involves estimates for the solutions of the d-bar equations, focusing on the existence of compact Levi-flat hypersurfaces in complex manifolds...The collection also reports progress on various topics, including the existence of extremal Kähler metrics on compact manifolds, .L.p. variants of the Bergman kernel, Wehrl-type inequalities, homogeneous Kähler metrics on bounded homogeneous domains, asymptotics of the Bergman kernels, and harmonic Szegő kernels and | 出版日期 | Conference proceedings 2024 | 关键词 | Several complex variables; Bergman kernel; complex geometry; representation theory; asymptotic expansion | 版次 | 1 | doi | https://doi.org/10.1007/978-981-99-9506-6 | isbn_softcover | 978-981-99-9508-0 | isbn_ebook | 978-981-99-9506-6Series ISSN 2194-1009 Series E-ISSN 2194-1017 | issn_series | 2194-1009 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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