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Algebraic groups and class fields. Transl. of the French edition. 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.

MSC:
14-02Research monographs (algebraic geometry)
11-02Research monographs (number theory)
11R37Class field theory for global fields
14K30Picard schemes, higher Jacobians
20G99Linear algebraic groups
11S31Class field theory for local fields; p-adic formal groups
14H40Jacobians, Prym varieties