Actions for Euler systems

Email RIS file
Bookmark
Report an Issue

Euler systems / by Karl Rubin

Author
Rubin, Karl
Published
Princeton, New Jersey ; Chichester, England : Princeton University Press, 2000.
Copyright Date
©2000
Physical Description
1 online resource (241 pages).
Access Online

Availability

I Want It
I Want It

Finding items...

Series
Language Note
In English.
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.
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.
Subject(s)
Other Subject(s)
ISBN
9781400865208 (e-book)
1400865204 (e-book)
0691050767
9780691050768
0691050759
9780691050751
Digital File Characteristics
text file
PDF
Bibliography Note
Includes bibliographical references and index.
View MARC record | catkey: 43636696