Class Field Theory
Abelian extensions of number fields, idèles, and reciprocity laws.
Class Field Theory. Abelian extensions of number fields, idèles, and reciprocity laws.
Foundations and canonical references
The standard treatments of class field theory approach the subject from complementary angles. Neukirch, Class Field Theory (1986) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for class field theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1986Class Field Theoryneukirch-1986
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