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Titlebook: Galois Cohomology and Class Field Theory; David Harari Textbook 2020 Springer Nature Switzerland AG 2020 Galois cohomology.Class Field The

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發(fā)表于 2025-3-21 17:09:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Galois Cohomology and Class Field Theory
編輯David Harari
視頻videohttp://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Titlebook: Galois Cohomology and Class Field Theory;  David Harari Textbook 2020 Springer Nature Switzerland AG 2020 Galois cohomology.Class Field The
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(guān)鍵詞Galois cohomology; Class Field Theory; Local fields; Global fields; Poitou-Tate duality; Lubin-Tate forma
版次1
doihttps://doi.org/10.1007/978-3-030-43901-9
isbn_softcover978-3-030-43900-2
isbn_ebook978-3-030-43901-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:59:57 | 只看該作者
Textbook 2020y 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
板凳
發(fā)表于 2025-3-22 01:27:00 | 只看該作者
David HarariFirst 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
地板
發(fā)表于 2025-3-22 07:15:41 | 只看該作者
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發(fā)表于 2025-3-22 09:25:45 | 只看該作者
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發(fā)表于 2025-3-22 20:08:44 | 只看該作者
Agriculture and Internationl RelationsThis chapter extends all results of Chap.?1 to profinite groups.
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發(fā)表于 2025-3-22 23:07:44 | 只看該作者
Old Wealth Horse to New Wealth OxThis chapter gives the main properties and examples of cohomological dimension.
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發(fā)表于 2025-3-23 03:24:03 | 只看該作者
https://doi.org/10.1057/9780230514775This chapter introduces Galois cohomology, the Brauer group, and their main properties.
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發(fā)表于 2025-3-23 08:38:19 | 只看該作者
Keith Noble,Tania Dennis,Sarah LarkinsThis chapter recalls basic facts on local fields.
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