Algebraic groups and class fields : translation of the French edition

Summary of the Main Results.- Algebraic Curves.- Maps From a Curve to a Commutative Group.- Singular Algebraic Curves.- Generalized Jacobians.- Class Field Theory.- Group Extension and Cohomology.- Bibliography.- Supplementary Bibliography.- Index. Front Matter....Pages i-ix Summary of Main Results....Pages 1-5 Algebraic Curves....Pages 6-26 Maps From a Curve to a Commutative Group....Pages 27-57 Singular Algebraic Curves....Pages 58-73 Generalized Jacobians....Pages 74-108 Class Field Theory....Pages 109-160 Group Extensions and Cohomology....Pages 161-197 Back Matter....Pages 198-207 A translation from the French "Groupes Algebriques et Corps de Classes". The author, who also wrote "Galois Cohomology", presents local class field theory from the cohomological point of view. Jean-pierre Serre ; Translation Of The French Edition. Translation Of: Groupes Algébriques Et Corps De Classes. Includes Index. Bibliography: P. [198]-203. This course presents the work of M. Rosenlicht and S. Lang.