Complex Abelian Varieties

Abelian varieties are special examples of projectivevarieties. As such theycan be described by a set ofhomogeneous polynomial equations. The theory ofabelianvarieties originated in the beginning of the ninetheenthcentrury with the work of Abel and Jacobi. The subject ofthis book is the theory of abelian varieties over the fieldof complex numbers, and it covers the main results of thetheory, both classic and recent, in modern language. It isintended to give a comprehensive introduction to the fie