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[null,"1.","Record Nr.",null,"UNINA9910813658303321"]
[null,null,"Autore",null,"Mazur Barry"]
[null,null,"Titolo",null,"Kolyvagin systems / / Barry Mazur, Karl Rubin"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2004"]
[{"$nulls":4},"©2004"]
[null,null,"ISBN",null,"1-4704-0397-8"]
[null,null,"Descrizione fisica",null,"1 online resource (112 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 168, Number 799"]
[null,null,"Disciplina",null,"516.3/5"]
[null,null,"Soggetti",null,"Birch-Swinnerton-Dyer conjecture"]
[{"$nulls":4},"L-functions"]
[{"$nulls":4},"Arithmetical algebraic geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"March 2004, Volume 168, Number 799 (end of volume).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"0.1. Selmer sheaves and Kolyvagin systems\"\"; \"\"0.2. Resemblance to the leading term of an L-function\"\"; \"\"0.3. Applications\"\"; \"\"0.4. Layout of the paper\"\"; \"\"0.5. Notation\"\"; \"\"0.6. Acknowledgments\"\"; \"\"Chapter 1. Local Cohomology Groups\"\"; \"\"1.1. Local conditions\"\"; \"\"1.2. The finite/singular homomorphism\"\"; \"\"1.3. Local duality\"\"; \"\"Chapter 2. Global Cohomology Groups and Selmer Structures\"\"; \"\"2.1. Selmer modules\"\"; \"\"2.2. Comparing Selmer modules\"\"; \"\"2.3. Global duality\"\"; \"\"Chapter 3. Kolyvagin Systems\"\"; \"\"3.1. Kolyvagin systems\"\""]
[{"$nulls":4},"\"\"3.2. Euler systems and Kolyvagin systems\"\"\"\"3.3. Simplicial sheaves and Selmer groups\"\"; \"\"3.4. Sheaves and monodromy\"\"; \"\"3.5. Hypotheses on T,F, and p\"\"; \"\"3.6. Choosing useful primes\"\"; \"\"3.7. Some remarks about hypothesis ( H.6)\"\"; \"\"Chapter 4. Kolyvagin Systems over Principal Artinian Rings\"\"; \"\"4.1. The core Selmer module\"\"; \"\"4.2. Kolyvagin systems and the core rank\"\"; \"\"4.3. The sheaf of stub Selmer modules\"\"; \"\"4.4. Kolyvagin systems and the stub Selmer sheaf\"\"; \"\"4.5. Kolyvagin systems over principal artinian rings\"\"; \"\"Chapter 5. Kolyvagin Systems over Integral Domains\"\""]
[{"$nulls":4},"\"\"5.1. Kolyvagin systems over a field\"\"\"\"5.2. Kolyvagin systems over a discrete valuation ring\"\"; \"\"5.3. Kolyvagin systems over A\"\"; \"\"Chapter 6. Examples\"\"; \"\"6.1. The multiplicative group\"\"; \"\"6.2. Elliptic curves\"\"; \"\"6.3. The multiplicative group, revisited\"\"; \"\"Appendix A. Proof of Theorem 3.2.4\"\"; \"\"Appendix B. Proof of Theorem 4.3.3\"\"; "]
[{"$nulls":4},"\"\"Bibliography\"\""]