| 书目名称 | Local Systems in Algebraic-Arithmetic Geometry |
| 编辑 | Hélène Esnault |
| 视频video | |
| 概述 | (Over)view on the relation between local systems in complex algebraic geometry and in arithmetic geometry.Discusses deep conjectures that are presently out of reach.Proposes sub-conjectures that might |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci..This monograph provides a unique compelling and concise overview of an active area of research and is useful to students looking to get into this area. It is of interest to a wide range of researchers and is a useful reference for newcomers and experts alike.. |
| 出版日期 | Book 2023 |
| 关键词 | Motives; Local Systems; Hodge Theory; p-adic Hodge Theory; Algebraic Geometry; Complex Local Systems; l-ad |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-40840-3 |
| isbn_softcover | 978-3-031-40839-7 |
| isbn_ebook | 978-3-031-40840-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:44:39
