Kolyvagin systems / / Barry Mazur, Karl Rubin
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| Autore: |
Mazur Barry
|
| Titolo: |
Kolyvagin systems / / Barry Mazur, Karl Rubin
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| ©2004 | |
| Descrizione fisica: | 1 online resource (112 p.) |
| Disciplina: | 516.3/5 |
| Soggetto topico: | Birch-Swinnerton-Dyer conjecture |
| L-functions | |
| Arithmetical algebraic geometry | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | RubinKarl |
| Note generali: | "March 2004, Volume 168, Number 799 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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"" |
| ""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"" | |
| ""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""; ""Bibliography"" | |
| Titolo autorizzato: | Kolyvagin systems |
| ISBN: | 1-4704-0397-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910478885603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 168, Number 799.