Concepedia

Complete Discrete Valued Fields

Complete Discrete Valued Fields is a field equipped with a discrete valuation that is complete with respect to the metric induced by the valuation, distinguished from other valued fields by the combination of discreteness in the value group and topological completeness.

20

Publications

686

Citations

24

Authors

18

Institutions

Publications per year

2017–2026

1

Parents

Publications

20

Ramification of local fields with imperfect residue fields

Ahmed Abbes, Takeshi Saito · American Journal of Mathematics · 2002 · 113 citations · Full text

, , +10

Singular semipositive metrics in non-Archimedean geometry

Sébastien Boucksom, Charles Favre, Mattias Jönsson · Journal of Algebraic Geometry · 2015 · 81 citations

, , +9

Solution to a non-Archimedean Monge-Ampère equation

Sébastien Boucksom, Charles Favre, Mattias Jönsson · Journal of the American Mathematical Society · 2014 · 68 citations · Full text

, , +9

A generalization of local class field theory by using $K$-groups, II

Kazuya Katô · Proceedings of the Japan Academy Series A Mathematical Sciences · 1978 · 56 citations · Full text

, , +10

A model complete theory of valued <i>D</i>-fields

Thomas Scanlon · Journal of Symbolic Logic · 2000 · 46 citations

, , +8

1–5 of 20

Authors

24

  1. MJ
    Mattias Jönsson

    University of Michigan, United States

    3 publications · 167 citations

    3

    h-index

  2. SB
    Sébastien Boucksom

    Centre National de la Recherche Scientifique, France

    3 publications · 167 citations

    3

    h-index

  3. CF
    Charles Favre

    École Polytechnique, France

    2 publications · 149 citations

    2

    h-index

  4. KK
    Kazuya Katô

    The University of Osaka, Japan

    2 publications · 75 citations

    2

    h-index

  5. LX
    Lei Xiao

    University of Florida, United States

    1 publications · 11 citations

    1

    h-index

1–5 of 24

Institutions

18

  1. Sorbonne Université

    Paris, France

    3 h-index

    3 publications

    167 citations

  2. University of Michigan

    Ann Arbor, United States

    3 h-index

    3 publications

    167 citations

  3. École Polytechnique

    Palaiseau, France

    3 h-index

    5 publications

    266 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    6 publications

    334 citations

  5. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    2 h-index

    2 publications

    99 citations

  6. St Petersburg University

    Saint Petersburg, Russia

    1 h-index

    1 publications

    11 citations

  7. K.N.Toosi University of Technology

    Tehran, Iran

    1 h-index

    1 publications

    23 citations

  8. University of California, Berkeley

    Berkeley, United States

    1 h-index

    1 publications

    46 citations

1–8 of 18

Venues

  1. American Journal of Mathematics

    3 publications · 141 citations

    2

    h-index

  2. Journal of Symbolic Logic

    1 publications · 46 citations

    1

    h-index

  3. Institutional Repositories DataBase (IRDB)

    Repository · 1 publications · 13 citations

    1

    h-index

  4. St Petersburg Mathematical Journal

    1 publications · 11 citations

    1

    h-index

  5. Radboud Repository (Radboud University)

    Repository · 1 publications · 38 citations

    1

    h-index

1–5