Iwasawa theory and generalizations

2007/05/15 by Kazuya Katô · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Mathematics #Epistemology #Philosophy

paper · doi:10.4171/022-1/14

openalex publication_date 2007/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15

Abstract

Introduction to Iwasawa theory and its generalizations, discussion of some main conjectures and related subjects.

Citations

• Noncommutative Noetherian Rings
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• The ?main conjectures? of iwasawa theory for imaginary quadratic fields
• Class fields of abelian extensions of Q
• Notes on elliptic curves. II.
• Représentations galoisiennes, différentielles de Kähler et « conjectures principales »
• Modular Elliptic Curves and Fermat's Last Theorem

Cited by

• The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in the Hecke algebra
• Iwasawa theory [wikipedia]

Related

• Torres infinitas sorprendentes. Una introducción a la Teoría de Iwasawa
• ∞-Categorical Approaches to Hodge-Iwasawa Theory I: Introduction and Extensions
• On the 'main conjecture' of equivariant Iwasawa theory
• An archimedian analog of Iwasawa theory
• Wall crossing in Iwasawa theory