Algebraic

Euler Systems

Name: Euler Systems
Brand: Princeton University Press
SKU: 9780691050768
Price: 12923.00 INR
Availability: InStock
ISBN: 9780691050768

EULER SYSTEMS (AM-147)

Contributor(s): Rubin, Karl Author Format: Paperback

Paperback · ISBN 9780691050768

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Key Specifications

ISBN	9780691050768
Subtitle	EULER SYSTEMS (AM-147)
Publisher	Princeton University Press
Publication date	May 2000
Language	English
MRP	£92.00 GBP
Page count	240
Item weight	76 g

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

Key Specifications

Rubin, Karl Author

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