Complex Multiplication

Focusing on complex multiplication, this classic work by Shimura-Taniyama explores significant results in higher dimensions, building on Deuring's methods for elliptic curves. It synthesizes contributions from notable mathematicians like Weil, Serre, and Deligne, offering a clearer presentation of fundamental results compared to earlier works. The book is designed for readers familiar with abelian varieties, guiding them through key theorems and applications. It includes detailed discussions on analytic complex multiplication and the construction of abelian manifolds.