Class fields of abelian extensions of Q

1984/06/01 by Barry Mazur, B. Mazur, Andrew Wiles +1 · 7 citations
Computer Science · Mathematics · #Abelian group #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic Geometry and Number Theory #Artificial intelligence #Class (philosophy) #Combinatorics #Mathematics #Polynomial and algebraic computation #Pure mathematics

paper · doi:10.1007/bf01388599

crossref issued 1984/06/01 · crossref published 1984/06/01 · crossref published-print 1984/06/01 · openalex publication_date 1984/06/01 · crossref created 2005/04/02 · crossref deposited 2023/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/07/02 · openalex updated_date 2026/07/23

Citations

• Good Reduction of Abelian Varieties
• The irreducibility of the space of curves of given genus
• On Z l -Extensions of Algebraic Number Fields
• Théorie des Topos et Cohomologie Etale des Schémas
• Algebraic Geometry

Cited by

• The ?main conjectures? of iwasawa theory for imaginary quadratic fields
• Iwasawa theory and generalizations
• The Iwasawa Main Conjectures for GL2
• Algebraic K-Theory of Rings of Integers in Local and Global Fields
• On Lifting and Modularity of Reducible Residual Galois Representations Over Imaginary Quadratic Fields
• The nilpotence theorem for the algebraicK–theory of the sphere spectrum
• Iwasawa theory [wikipedia]