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Nevanlinna theory and its relation to Diophantine approximation /
It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects. Each chapter is divided int...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Ch. 1. Nevanlinna theory for meromorphic functions and Roth's theorem. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 2. Holomorphic curves into compact Riemann surfaces and theorems of Siegel, Roth and Faltings. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 3. Holomorphic curves in Pn(C) and Schmidt's subspace theorem. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 4. The moving target problems. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 5. Equi-dimensional Nevanlinna theory and Vojta's conjecture. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 6. Holomorphic curves in abelian varieties and the theorem of Faltings. pt. A. Nevanlinna theory. pt. B. Diophantine approximation
- ch. 7. Complex hyperbolic manifolds and Lang's conjecture. pt. A. Nevanlinna theory. pt. B. Diophantine approximation.