Construction of class fields over imaginary quadratic fields and applications. (English) Zbl 1244.11063
The authors construct ring class fields and ray class fields over an imaginary quadratic field by values of automorphic functions, using Shimura’s theory of canonical models and his reciprocity law.
Reviewer: Florin Nicolae (Berlin)
MSC:
| 11G18 | Arithmetic aspects of modular and Shimura varieties |
| 11G15 | Complex multiplication and moduli of abelian varieties |
| 11R37 | Class field theory |
