Ebook: Algebraic Groups and Class Fields
Author: Jean-Pierre Serre (auth.)
- Tags: Group Theory and Generalizations
- Series: Graduate Texts in Mathematics 117
- Year: 1988
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
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.
Content:
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
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.
Content:
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
....
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.
Content:
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
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.
Content:
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
....
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