Euler systems /

Euler systems /

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Bibliographic Details
Author / Creator:	Rubin, Karl, author.
Imprint:	Princeton, New Jersey ; Chichester, England : Princeton University Press, 2000. ©2000
Description:	1 online resource (241 pages)
Language:	English
Series:	Annals of Mathematics Studies ; Number 147 Annals of mathematics studies ; no. 147.
Subject:	Algebraic number theory. p-adic numbers. Algebraic number theory. p-adic numbers. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11236282

Hidden Bibliographic Details
ISBN:	9781400865208 1400865204 0691050767 9780691050768 0691050759 9780691050751 9780691050768
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. In English. Print version record.
Summary:	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.
Other form:	Print version: Rubin, Karl. Euler systems. Princeton, New Jersey ; Chichester, England : Princeton University Press, ©2000 xi, 227 pages Annals of mathematics studies ; Number 147 9780691050768
Standard no.:	10.1515/9781400865208

Table of Contents:

Frontmatter
Contents
Acknowledgments / Rubin, Karl
Introduction
Chapter 1. Galois Cohomology of p-adic Representations
Chapter 2. Euler Systems: Definition and Main Results
Chapter 3. Examples and Applications
Chapter 4. Derived Cohomology Classes
Chapter 5. Bounding the Selmer Group
Chapter 6. Twisting
Chapter 7. Iwasawa Theory
Chapter 8. Euler Systems and p-adic L-functions
Chapter 9. Variants
Appendix A. Linear Algebra
Appendix B. Continuous Cohomology and Inverse Limits
Appendix C. Cohomology of p-adic Analytic Groups
Appendix D. p-adic Calculations in Cyclotomic Fields
Bibliography
Index of Symbols
Subject Index.