| 书目名称 | Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithm |
| 编辑 | Jean-Benoît Bost |
| 视频video | |
| 概述 | Contains a complete account of the theta invariants.Presents the author‘s theory of infinite Hermitian vector bundles over arithmetic curves.Provides many interesting original insights and ties to oth |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves. It contains a complete description of the theta invariants which give rise to a closer parallel with the geometric case. The author then unfolds his theory of infinite Hermitian vector bundles over arithmetic curves and their theta invariants, which provides a conceptual framework to deal with the sequences of lattices occurring in many diophantine constructions..The book contains many interesting original insights and ties to other theories. It is written with extreme care, with a clear and pleasant style, and never sacrifices accessibility to sophistication. . |
| 出版日期 | Book 2020 |
| 关键词 | geometry of numbers (Euclidean lattices); transcendence theory; arithmetic curve; Diophantine geometry; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-44329-0 |
| isbn_softcover | 978-3-030-44331-3 |
| isbn_ebook | 978-3-030-44329-0Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 18:30:09
