书目名称 | Elliptic Curves and Arithmetic Invariants |
编辑 | Haruzo Hida |
视频video | |
概述 | Contains top-notch research that will interest both experts and advanced graduate students.Written by an expert renowned for his discovery that modular forms fall into families, otherwise known as "Hi |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | This book contains a detailed account of the result of the author‘s recent Annals paper and JAMS paper on arithmetic invariant, including .μ.-invariant, .L.-invariant, and similar topics. This book can be regarded as an introductory text to the author‘s previous book .p-Adic Automorphic Forms on Shimura Varieties.. Written as a down-to-earth introduction to Shimura varieties, this text includes many examples and applications of the theory that provide motivation for the reader. Since it is limited to modular curves and the corresponding Shimura varieties, this book is not only a great resource for experts in the field, but it is also accessible to advanced graduate students studying number theory. Key topics include non-triviality of arithmetic invariants and special values of .L.-functions; elliptic curves over complex and .p.-adic fields; Hecke algebras; scheme theory; elliptic and modular curves over rings; and Shimura curves. |
出版日期 | Book 2013 |
关键词 | Hecke algebra; Shimura variety; arithmetic invariants; elliptic curves; modular forms; scheme theory |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-6657-4 |
isbn_softcover | 978-1-4899-9092-1 |
isbn_ebook | 978-1-4614-6657-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Science+Business Media New York 2013 |