Euler Systems 2024 pdf epub mobi 电子书


Euler Systems

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发表于2024-11-16

Euler Systems 2024 pdf epub mobi 电子书

Euler Systems 2024 pdf epub mobi 电子书

Euler Systems 2024 pdf epub mobi 电子书



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出版者:Princeton University Press
作者:Karl Rubin
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页数:240
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出版时间:2000-5-1
价格:USD 67.50
装帧:Paperback
isbn号码:9780691050768
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Euler Systems 2024 pdf epub mobi 电子书 图书描述

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dyer Conjecture and the Main Conjecture of Iwasawa Theory. Because Selmer groups play a central role in Arithmetic Algebraic Geometry, Euler systems should be a powerful tool in the future development of the field. Here, in the first book to appear on the subject, Karl Rubin presents a self-contained development of the theory of Euler systems. Rubin first reviews and develops the necessary facts from Galois cohomology. He then introduces Euler systems, states the main theorems, and develops examples and applications. The remainder of the book is devoted to the proofs of the main theorems as well as some further speculations. The book assumes a solid background in algebraic Number Theory, and is suitable as an advanced graduate text. As a research monograph it will also prove useful to number theorists and researchers in Arithmetic Algebraic Geometry.

Euler Systems 2024 pdf epub mobi 电子书

Euler Systems 2024 pdf epub mobi 电子书
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