The original article gave a simplified exposition of Deligne's extension of the Main Theorem of Complex Multiplication to all automorphisms of the complex numbers. The addendum discusses some additional topics in the theory of complex multiplication --- the origins of the theory, Hilbert's Twelfth Problem, why algebraic Hecke characters are motivic, and the periods of abelian varieties of CM-type. (43 pages)

- CMPed.dvi (203280 bytes) [1998 Jun 15]
- CMPed.dvi.gz (82200 bytes)
- CMPed.ps.gz (192913 bytes)

J. S. Milne <jmilne@umich.edu>