The fundamental theorem of complex multiplication

2007/05/23 by J. S. Milne, Milne, J. S.
Mathematics · #11G15 #14K22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0705.3446

openalex publication_date 2007/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The 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.

Citations

• Good Reduction of Abelian Varieties

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