Concepedia

Selmer Groups

Selmer Group is a subgroup of the Galois cohomology group that classifies finite Selmer extensions and captures the local-global obstructions to the existence of rational points on an abelian variety, particularly in the context of elliptic curves and their associated Galois representations.

166

Publications

5.3K

Citations

124

Authors

110

Institutions

Publications per year

2017–2026

23

Variants

Selmer Group

Parents

Publications

166

Families of Galois representations and Selmer groups

Joël Bellaïche, Gaëtan Chenevier · Astérisque · 2018 · 173 citations

, , +14

The size of Selmer groups for the congruent number problem

D. R. Heath‐Brown · Inventiones mathematicae · 1993 · 138 citations

, , +7

The size of Selmer groups for the congruent number problem, II

D. R. Heath‐Brown · Inventiones mathematicae · 1994 · 117 citations

, , +8

ON THE BIRCH–SWINNERTON-DYER QUOTIENTS MODULO SQUARES

Bristol Research (University of Bristol) · 2006 · 111 citations · Full text

, , +13

The Unipotent Albanese Map and Selmer Varieties for Curves

Minhyong Kim · Publications of the Research Institute for Mathematical Sciences · 2009 · 110 citations · Full text

, , +11

1–5 of 166

Authors

124

  1. MB
    Manjul Bhargava

    Princeton University, United States

    8 publications · 292 citations

    8

    h-index

  2. AL
    Antonio Lei

    Université Laval, Canada

    8 publications · 200 citations

    8

    h-index

  3. TO
    Tadashi Ochiai

    The University of Osaka, Japan

    6 publications · 188 citations

    6

    h-index

  4. AS
    Arul Shankar

    University of Toronto, Canada

    5 publications · 172 citations

    5

    h-index

  5. BD
    Byoung Du Kim

    Victoria University of Wellington, New Zealand

    5 publications · 178 citations

    5

    h-index

1–5 of 124

Institutions

110

  1. University of Cambridge

    Cambridge, United Kingdom

    11 h-index

    13 publications

    552 citations

  2. University of Warwick

    Coventry, United Kingdom

    10 h-index

    10 publications

    307 citations

  3. Harvard University

    Cambridge, United States

    9 h-index

    9 publications

    350 citations

  4. Université Laval

    Québec, Canada

    6 h-index

    6 publications

    129 citations

  5. University College London

    London, United Kingdom

    6 h-index

    6 publications

    220 citations

  6. Princeton University

    Princeton, United States

    5 h-index

    5 publications

    126 citations

  7. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    5 h-index

    5 publications

    163 citations

  8. University of California, Irvine

    Irvine, United States

    5 h-index

    6 publications

    231 citations

1–8 of 110

Venues

  1. arXiv (Cornell University)

    Repository · 15 publications · 346 citations

    11

    h-index

  2. Compositio Mathematica

    10 publications · 312 citations

    10

    h-index

  3. Asian Journal of Mathematics

    AJM · 7 publications · 225 citations

    7

    h-index

  4. Journal of Number Theory

    7 publications · 140 citations

    7

    h-index

  5. Annals of Mathematics

    6 publications · 251 citations

    6

    h-index

1–5