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 139 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 Citations:Zbl 0074.26602; Zbl 0074.26802; Zbl 0083.25804; JFM 44.0245.03; JFM 52.0377.01; JFM 57.0204.02; Zbl 0002.12002; Zbl 0048.27001; Zbl 0064.27401; Zbl 0064.27402; Zbl 0074.03301; Zbl 0105.03004 PDF BibTeX XML OpenURL