| 書目名稱 | Drinfeld Modules | | 編輯 | Mihran Papikian | | 視頻video | http://file.papertrans.cn/283/282868/282868.mp4 | | 概述 | Offers an accessible introduction to Drinfeld modules.Features a hands-on, "computational" style, containing numerous exercises.Provides a self-contained, high-quality reference for researchers | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory..After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized..Drinfeld Modules. guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-containe | | 出版日期 | Textbook 2023 | | 關鍵詞 | Drinfield modules; Function field arithmetic; Finite fields and linearized polynomials; Non-archimedean | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-19707-9 | | isbn_softcover | 978-3-031-19709-3 | | isbn_ebook | 978-3-031-19707-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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