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Abelian varieties with complex multiplication and modular functions /
Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular funct...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
[1998]
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| Colección: | Princeton mathematical series ;
46. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface to Complex Multiplication of Abelian Varieties and Its Applications to Number Theory (1961)
- Ch. I. Preliminaries on Abelian Varieties
- Ch. II. Abelian Varieties with Complex Multiplication
- Ch. III. Reduction of Constant Fields
- Ch. IV. Construction of Class Fields
- Ch. V. The Zeta Function of an Abelian Variety with Complex Multiplication
- Ch. VI. Families of Abelian Varieties and Modular Functions
- Ch. VII. Theta Functions and Periods on Abelian Varieties.