Algebraic groups and class fields. Transl. of the French edition. (English) Zbl 0703.14001

Graduate Texts in Mathematics, 117. New York etc.: Springer-Verlag. ix, 207 p. DM 72.00 (1988).
The author’s book “Groupes algébrique et corps de classes” was published first in 1959 (Paris; Zbl 0097.356). A second - corrected - edition thereof appeared in 1975 (cf. Zbl 0318.14004), enlarged with a bibliography which took into account the development of the theme up to that time. The volume under review is the English translation of this second edition.


14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
11-02 Research exposition (monographs, survey articles) pertaining to number theory
11R37 Class field theory
14K30 Picard schemes, higher Jacobians
20G99 Linear algebraic groups and related topics
11S31 Class field theory; \(p\)-adic formal groups
14H40 Jacobians, Prym varieties