Karl Rubin

(Author)

Euler Systems. (Am-147), Volume 147Paperback, 21 May 2000

Euler Systems. (Am-147), Volume 147
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Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies, 147
Part of Series
Annals of Mathematics Studies (Paperback)
Part of Series
Hermann Weyl Lectures
Print Length
240 pages
Language
English
Publisher
Princeton University Press
Date Published
21 May 2000
ISBN-10
0691050767
ISBN-13
9780691050768

Description

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.

Product Details

Author:
Karl Rubin
Book Format:
Paperback
Country of Origin:
US
Date Published:
21 May 2000
Dimensions:
23.39 x 15.6 x 1.3 cm
ISBN-10:
0691050767
ISBN-13:
9780691050768
Language:
English
Location:
Princeton
Pages:
240
Weight:
340.19 gm

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