Euler Systems. (AM-147), Volume 147 / / Karl Rubin.
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...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©2000 |
Year of Publication: | 2014 |
Language: | English |
Series: | Annals of Mathematics Studies ;
147 |
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Physical Description: | 1 online resource (240 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- 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