Concepedia

Elliptic Class Fields

Elliptic Class Fields is a mathematical construct in algebraic number theory that refers to finite abelian extensions of imaginary quadratic fields generated by the torsion points of complex multiplication elliptic curves.

22

Publications

1.8K

Citations

26

Authors

14

Institutions

Publications per year

2017–2026

1

Parents

Publications

22

Class fields of abelian extensions of Q

Barry Mazur, Andrew Wiles · Inventiones mathematicae · 1984 · 495 citations

, , +12

Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication

Choice Reviews Online · 1990 · 393 citations

, , +13

Construction of Class Fields and Zeta Functions of Algebraic Curves

Goro Shimura · Annals of Mathematics · 1967 · 171 citations

, , +14

Unramified Class Field Theory of Arithmetical Surfaces

Kazuya Katô, Shuji Saito · Annals of Mathematics · 1983 · 102 citations

, , +10

Algebraic K-Theory and Classfield Theory for Arithmetic Surfaces

Spencer Bloch · Annals of Mathematics · 1981 · 88 citations

, , +15

1–5 of 22

Authors

26

  1. SS
    Shuji Saito

    The University of Tokyo, Japan

    3 publications · 209 citations

    3

    h-index

  2. GS
    Goro Shimura

    Princeton University, United States

    2 publications · 190 citations

    2

    h-index

  3. KK
    Kazuya Katô

    The University of Osaka, Japan

    2 publications · 131 citations

    2

    h-index

  4. ON
    O N Vvedenskiĭ

    1 publications · 13 citations

    1

    h-index

  5. ST
    Saeed Tafazolian

    Universidade Estadual de Campinas (UNICAMP), Brazil

    1 publications · 12 citations

    1

    h-index

1–5 of 26

Institutions

14

  1. The University of Tokyo

    Tokyo, Japan

    1 h-index

    1 publications

    78 citations

  2. Harvard University

    Cambridge, United States

    1 h-index

    2 publications

    990 citations

  3. Tokyo University of Science

    Tokyo, Japan

    1 h-index

    1 publications

    78 citations

  4. Universidade Estadual de Campinas (UNICAMP)

    Campinas, Brazil

    1 h-index

    1 publications

    12 citations

  5. Queen's University

    Kingston, Canada

    1 h-index

    1 publications

    65 citations

  6. Amirkabir University of Technology

    Tehran, Iran

    1 h-index

    1 publications

    12 citations

  7. Amherst College

    Amherst Center, United States

    1 h-index

    1 publications

    19 citations

  8. McGill University

    Montreal, Canada

    1 h-index

    1 publications

    24 citations

1–8 of 14

Venues

  1. Annals of Mathematics

    4 publications · 380 citations

    4

    h-index

  2. Journal of Number Theory

    3 publications · 159 citations

    3

    h-index

  3. Choice Reviews Online

    CRO · 1 publications · 393 citations

    1

    h-index

  4. Moscow Mathematical Journal

    1 publications · 20 citations

    1

    h-index

  5. Journal of the London Mathematical Society

    1 publications · 12 citations

    1

    h-index

1–5