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Kolyvagin systems

About this Title

Barry Mazur and Karl Rubin

Publication: Memoirs of the American Mathematical Society
Publication Year: 2004; Volume 168, Number 799
ISBNs: 978-0-8218-3512-8 (print); 978-1-4704-0397-3 (online)
MathSciNet review: 2031496
MSC: Primary 11R34; Secondary 11F80, 11G40, 11R23

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Table of Contents


  • Introduction
  • 1. Local cohomology groups
  • 2. Global cohomology groups and Selmer structures
  • 3. Kolyvagin systems
  • 4. Kolyvagin systems over principal Artinian rings
  • 5. Kolyvagin systems over integral domains
  • 6. Examples