2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129428The goal of this expository article is to present a proof that is as direct and elementary as possible of the fundamental theorem of complex multiplication (Shimura, Taniyama, Langlands, Tate, Deligne et al.). The article is a revision of part of my manuscript, Complex Multiplication, April 7, 2006.33 pagesNumber TheoryAlgebraic Geometry11G15; 14K22The fundamental theorem of complex multiplicationtext