| 书目名称 | Positivity in Arakelov Geometry over Adelic Curves |
| 副标题 | Hilbert-Samuel Formu |
| 编辑 | Huayi Chen,Atsushi Moriwaki |
| 视频video | |
| 概述 | Provides new results on the arithmetic positivities of Arakelov geometry over adelic curves.Highlights connections with several classical topics in Arakelov geometry and Diophantine geometry.Includes |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections with several classical topics in Arakelov geometry and Diophantine geometry are highlighted, such as the arithmetic Hilbert-Samuel formula, positivity of line bundles, equidistribution of small subvarieties, and theorems resembling the Bogomolov conjecture. Detailed proofs and explanations are provided to ensure the text is accessible to both graduate students and experienced researchers.. |
| 出版日期 | Book 2024 |
| 关键词 | Arakelov geometry; adelic curves; Hilbert-Samuel formula; adelic line bundle; arithmetic intersection; po |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-61668-6 |
| isbn_softcover | 978-3-031-61670-9 |
| isbn_ebook | 978-3-031-61668-6Series 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 |
发表于 2025-3-21 18:19:07
