Concepedia

Ramification Theory

Ramification Theory is a theoretical framework within algebraic number theory that systematically classifies the behavior of prime ideals in field extensions by quantifying the extent to which prime ideals decompose with nontrivial multiplicity or inertia, particularly in the context of local fields, Galois extensions, and p-adic structures.

521

Publications

16.2K

Citations

641

Authors

356

Institutions

Publications per year

2017–2026

52

Parents

Publications

521

On Z l -Extensions of Algebraic Number Fields

Kenkichi Iwasawa · Annals of Mathematics · 1973 · 446 citations

, , +11

Reasoning about action using a possible models approach

Marianne Winslett · National Conference on Artificial Intelligence · 1988 · 420 citations

, , +9

Nevanlinna theory for the difference operator

Rod Halburd, Risto Korhonen · ArXiv.org · 2005 · 325 citations · Full text

, , +6

Toda equations for Hurwitz numbers

Andreĭ Okounkov · Mathematical Research Letters · 2000 · 273 citations · Full text

, , +6

A modular construction of unramifiedp-extensions ofQ(? p )

Kenneth A. Ribet · Inventiones mathematicae · 1976 · 187 citations

, , +10

1–5 of 521

Authors

641

  1. TS
    Takeshi Saito

    The University of Tokyo, Japan

    8 publications · 333 citations

    8

    h-index

  2. MR
    Michael Rapoport

    University of Bonn, Germany

    6 publications · 229 citations

    6

    h-index

  3. NB
    Nigel Boston

    University of Wisconsin–Madison, United States

    6 publications · 101 citations

    6

    h-index

  4. LJ
    Louis J. Ratliff

    University of California, Riverside, United States

    6 publications · 142 citations

    6

    h-index

  5. KK
    Kazuya Katô

    The University of Osaka, Japan

    5 publications · 162 citations

    5

    h-index

1–5 of 641

Institutions

356

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    23 publications

    807 citations

  2. The University of Tokyo

    Tokyo, Japan

    11 h-index

    11 publications

    310 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    9 h-index

    12 publications

    659 citations

  4. Université de Bordeaux

    Bordeaux, France

    9 h-index

    11 publications

    514 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    9 publications

    266 citations

  6. Institut de Mathématiques de Bordeaux

    Talence, France

    8 h-index

    9 publications

    273 citations

  7. University of Bonn

    Bonn, Germany

    8 h-index

    9 publications

    291 citations

  8. Max Planck Institute for Mathematics

    Bonn, Germany

    7 h-index

    10 publications

    318 citations

1–8 of 356

Venues

  1. Pacific Journal of Mathematics

    16 publications · 499 citations

    16

    h-index

  2. American Journal of Mathematics

    19 publications · 936 citations

    16

    h-index

  3. Journal of Algebra

    22 publications · 481 citations

    15

    h-index

  4. Annals of Mathematics

    15 publications · 1.4K citations

    15

    h-index

  5. Inventiones mathematicae

    14 publications · 667 citations

    13

    h-index

1–5