The ?main conjectures? of iwasawa theory for imaginary quadratic fields

1991/12/01 by Karl Rubin · 6 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Conjecture #Geometry #Iwasawa theory #Mathematics #Pure mathematics #Quadratic equation #Quadratic field #Quadratic function #The Imaginary

paper · doi:10.1007/bf01239508

crossref issued 1991/12/01 · crossref published 1991/12/01 · crossref published-print 1991/12/01 · openalex publication_date 1991/12/01 · crossref created 2005/02/26 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · crossref indexed 2026/07/11 · openalex updated_date 2026/07/27

Citations

• Good Reduction of Abelian Varieties
• Class fields of abelian extensions of Q
• On Z l -Extensions of Algebraic Number Fields
• Heegner points and derivatives ofL-series

Cited by

• On deformation rings of residually reducible Galois representations and\n R=T theorems
• Iwasawa theory and generalizations
• The Iwasawa Main Conjectures for GL2
• On Lifting and Modularity of Reducible Residual Galois Representations Over Imaginary Quadratic Fields
• Birch and Swinnerton-Dyer conjecture [wikipedia]
• Iwasawa theory [wikipedia]