1 Table of Contents: “...to Global Class Field Theory -- I. Basic Tools and Notations -- II. Reciprocity Maps — Existence...”

2 Table of Contents: “... -- § 3. G-Modules -- § 4. The Herbrand Quotient -- § 5. Kummer Theory -- II. General Class Field Theory...”

3 Table of Contents: “... Class Field Theory -- V: Local Class Field Theory -- VI: Global Class Field Theory -- VII: Zeta...”

4 Table of Contents: “... -- VIII Elementary Properties of the Zeta Function and L-series -- Two Class Field Theory -- IX Norm Index...”

5 Table of Contents: “... -- VIII Elementary Properties of the Zeta Function and L-series -- Two Class Field Theory -- IX Norm Index...”

6 Table of Contents: “... of Tate and Nakayama -- X Galois Cohomology -- XI Class Formations -- Four Local Class Field Theory -- XII...”

7 Table of Contents: “...Algebra -- Categories -- Class field theory. Field extensions -- Geometry -- Finsler Spaces...”

8 Table of Contents: “.... Finite Determination of Class Number -- III. Introduction to Class Field Theory -- 14. Quadratic Forms...”

9 Table of Contents: “... -- IV Singular Algebraic Curves -- V Generalized Jacobians -- VI Class Field Theory -- VII Group...”

10 Table of Contents: “...3.3 Congruence Subgroups: One Side of Class Field Theory -- 3.4 Abelian Extensions: The Other Side...”

11 Table of Contents: “...1. Basic Number Theory -- 2. Class Field Theory -- 3. Galois Groups -- 4. Abelian Fields -- 5...”

12 “..., class field theory and algebraic geome­ try only strengthen the nineteenth century number theorists...”

13 Table of Contents: “... Class Field Theory of Function Fields -- Résultats de “Pureté” pour les Variétés Lisses Sur un Corps...”

14 Table of Contents: “... Tour of Class Field Theory -- 7 Tate’s Thesis and Applications -- Appendices -- Appendix A: Normed...”

15 Table of Contents: “... and the Class Number Formula -- 8: The Distribution of Primes and an Introduction to Class Field Theory...”

16 “...s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological...”

17 Table of Contents: “... -- The Establishment of the Takagi-Artin Class Field Theory -- Where Did Twentieth-Century Mathematics Go Wrong...”

18 Table of Contents: “.... Rationality Questions -- §3. Class Field Theory — A Brief Review -- §4. The Hilbert Class Field -- §5...”

19 “... generalizations of class field theory, recursive computability and links with Diophantine equations...”

20 Table of Contents: “... representations p-adiques -- Class field theory and algebraic K-theory -- Geometrie microlocale -- Vanishing cycle...”