Shimura, Goro; Taniyama, Yutaka. Complex multiplication of abelian varieties and its applications to number theory. (English) Zbl 0112.03502 Publications of the Mathematical Society of Japan, 6. Tokyo: The Mathematical Society of Japan. xi, 159 p. (1961). Reviewer: P. Roquette Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 137 Documents MSC: 11G15 Complex multiplication and moduli of abelian varieties 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11G10 Abelian varieties of dimension \(> 1\) 14K22 Complex multiplication and abelian varieties 11R20 Other abelian and metabelian extensions 11R37 Class field theory Keywords:Complex multiplication of abelian varieties; total imaginary quadratic extension of totally real field; class field theory; Frobenius endomorphism; zeta function of abelian variety; Hilbert’s 12th problem PDF BibTeX XML