Coverart for item
The Resource Euler systems, by Karl Rubin

Euler systems, by Karl Rubin

Label
Euler systems
Title
Euler systems
Statement of responsibility
by Karl Rubin
Creator
Author
Subject
Genre
Language
eng
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
Member of
Cataloging source
E7B
http://library.link/vocab/creatorName
Rubin, Karl
Index
index present
Language note
In English
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Annals of Mathematics Studies
Series volume
Number 147
http://library.link/vocab/subjectName
  • Algebraic number theory
  • p-adic numbers
  • MATHEMATICS
  • MATHEMATICS
  • Algebraic number theory
  • p-adic numbers
  • Algebraic number theory
  • MATHEMATICS
  • Mathematics
  • Numerical and Computational Mathematics
  • p-adic numbers
  • Mathematik
Label
Euler systems, by Karl Rubin
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Frontmatter
  • Bibliography
  • Index of Symbols
  • Subject Index
  • 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
Control code
ocn891400001
Dimensions
unknown
Extent
1 online resource (241 pages)
Form of item
online
Isbn
9780691050751
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400865208
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt767xdd
Specific material designation
remote
System control number
(OCoLC)891400001
Label
Euler systems, by Karl Rubin
Publication
Copyright
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Frontmatter
  • Bibliography
  • Index of Symbols
  • Subject Index
  • 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
Control code
ocn891400001
Dimensions
unknown
Extent
1 online resource (241 pages)
Form of item
online
Isbn
9780691050751
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
JSTOR
Other control number
10.1515/9781400865208
http://library.link/vocab/ext/overdrive/overdriveId
22573/ctt767xdd
Specific material designation
remote
System control number
(OCoLC)891400001

Library Locations

    • Copley LibraryBorrow it
      5998 Alcalá Park, San Diego, CA, 92110-2492, US
      32.771354 -117.193327
Processing Feedback ...