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Titlebook: Drinfeld Modules; Mihran Papikian Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natur

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書(shū)目名稱(chēng)Drinfeld Modules
編輯Mihran Papikian
視頻videohttp://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(shū)名稱(chēng)Graduate Texts in Mathematics
圖書(shū)封面Titlebook: Drinfeld Modules;  Mihran Papikian Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natur
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(guān)鍵詞Drinfield modules; Function field arithmetic; Finite fields and linearized polynomials; Non-archimedean
版次1
doihttps://doi.org/10.1007/978-3-031-19707-9
isbn_softcover978-3-031-19709-3
isbn_ebook978-3-031-19707-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-319-51008-8ry is that the Frobenius .?:=?.. commutes with every other element of ., hence .[.] is a subring of . for any Drinfeld module .; this simple observation is the starting point of the main results of this chapter.
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