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P-adic differential equations /
"Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simpl...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2010.
|
| Colección: | Cambridge studies in advanced mathematics ;
125. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Norms on algebraic structures
- Newton polygons
- Ramification theory
- Matrix analysis
- Formalism of differential algebra
- Metric properties of differential modules
- Regular singularities
- Rings of functions on discs and annuli
- Radius and generic radius of convergence
- Frobenius pullback and pushforward
- Variation of generic and subsidiary radii
- Decomposition by subsidiary radii
- p-adic exponents
- Formalism of difference algebra
- Frobenius modules
- Frobenius modules over the Robba ring
- Frobenius structures on differential modules
- Effective convergence bounds
- Galois representations and differential modules
- The p-adic local monodromy theorem
- The p-adic local monodromy theorem: proof
- Picard-Fuchs modules
- Rigid cohomology
- p-adic Hodge theory.