| 期刊全稱 | Berkovich Spaces and Applications | | 影響因子2023 | Antoine Ducros,Charles Favre,Johannes Nicaise | | 視頻video | http://file.papertrans.cn/184/183815/183815.mp4 | | 發(fā)行地址 | An accessible introduction to the rapidly growing theory of Berkovich analytic spaces.Presents an original point of view, even on the basics of the theory.Gives an exposition of the striking applicati | | 學(xué)科分類 | Lecture Notes in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part focuses on applications to geometry. A second text by A. Ducros contains a new proof of the fact that the higher direct images of a coherent sheaf under a proper map are coherent, and B. Rémy, A. Thuillier and A. Werner provide an overview of their work on the compactification of Bruhat-Tits buildings using Berkovich analytic geometry.?The third and final part explores the relationship between non-archimedean geometry and dynamics. A contribution by M. Jonsson contains a thorough discussion of non-archimedean dynamical systems in dimension 1 and 2. Finally a survey by J.-P. Otal gives an account of Morgan-Shalen‘s theory of compactification of character varieties.?.This book will provide the reader with enough material on the basic concepts and constructions related to Berkovich spaces to move | | Pindex | Book 2015 |
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