| 書目名稱 | Galois Cohomology and Class Field Theory | | 編輯 | David Harari | | 視頻video | http://file.papertrans.cn/381/380415/380415.mp4 | | 概述 | First textbook offering a complete exposition of local and global class field theory as well as arithmetic duality theorems.Provides the necessary background in Galois cohomology and homological algeb | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory..Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet .L.-series, including the ?ebotarev density theorem.. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.. | | 出版日期 | Textbook 2020 | | 關鍵詞 | Galois cohomology; Class Field Theory; Local fields; Global fields; Poitou-Tate duality; Lubin-Tate forma | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-43901-9 | | isbn_softcover | 978-3-030-43900-2 | | isbn_ebook | 978-3-030-43901-9Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Nature Switzerland AG 2020 |
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