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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)

DOI: https://doi.org/http://dx.doi.org/10.1090/memo/0799

MathSciNet review: 2031496

MSC: Primary 11R34; Secondary 11F80, 11G40, 11R23

### Table of Contents

**Chapters**

- 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