Hilbert's tenth problem : diophantine classes and extensions to global fields /
Guardado en:
| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Cambridge :
Cambridge University Press,
2007.
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| Series: | New mathematical monographs ;
7 |
| Materias: | |
| Acceso en línea: | Publisher description Contributor biographical information |
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Tabla de Contenidos:
- 1. Introduction
- 2. Diophantine classes: definition and basic facts
- 3. Diophantine equivalence and diophantine decidability
- 4. Integrality at finitely many primes and divisibility of order at infinitely many primes
- 5. Bound equations for number fields and their consequences
- 6. Units of rings of W-integers of norm 1
- 7. Diophantine classes over number fields
- 8. Diophantine undecidability of function fields
- 9. Bounds for function fields
- 10. Diophantine classes over function fields
- 11. Mazur's conjectures and their consequences
- 12. Results of Poonen
- 13. Beyond global fields
- A. Recursion theory
- B. Number theory.