Concepedia

Mordell Conjecture

The Mordell Conjecture is a mathematical conjecture in arithmetic geometry asserting that a smooth projective curve of genus greater than one over a number field possesses only finitely many rational points.

87

Publications

3.7K

Citations

97

Authors

63

Institutions

Publications per year

2017–2026

15

Parents

Publications

87

Heights in Diophantine geometry

Choice Reviews Online · 2006 · 495 citations

, , +14

On the Mordell-Weil Lattices

Tetsuji Shioda · Rikkyo University academic repository (Rikko Roots) (Rikkyo University) · 1990 · 356 citations

, , +8

The Mordell-Lang conjecture for function fields

Ehud Hrushovski · Journal of the American Mathematical Society · 1996 · 222 citations · Full text

, , +11

On non-negative forms in real variables some or all of which are non-negative

P. H. Diananda · Mathematical Proceedings of the Cambridge Philosophical Society · 1962 · 188 citations

, , +5

Some results on the Mordell-Weil group of the Jacobian of the Fermat curve

Benedict H. Gross, David E. Rohrlich · Inventiones mathematicae · 1978 · 146 citations

, , +10

1–5 of 87

Authors

97

  1. DG
    Dragos Ghioca

    University of British Columbia, Canada

    7 publications · 297 citations

    7

    h-index

  2. TJ
    Thomas J. Tucker

    University of Rochester, United States

    6 publications · 286 citations

    6

    h-index

  3. TS
    Tetsuji Shioda

    Rikkyo University, Japan

    3 publications · 450 citations

    3

    h-index

  4. PH
    P. H. Diananda

    National University of Singapore, Singapore

    3 publications · 223 citations

    3

    h-index

  5. TS
    Thomas Scanlon

    University of Strathclyde, United Kingdom

    3 publications · 63 citations

    3

    h-index

1–5 of 97

Institutions

63

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    5 publications

    276 citations

  2. University of California, Berkeley

    Berkeley, United States

    4 h-index

    4 publications

    85 citations

  3. National University of Singapore

    Singapore, Singapore

    3 h-index

    3 publications

    223 citations

  4. University of British Columbia

    Vancouver, Canada

    3 h-index

    3 publications

    80 citations

  5. Harvard University

    Cambridge, United States

    3 h-index

    4 publications

    396 citations

  6. University of Rochester

    Rochester, United States

    3 h-index

    3 publications

    151 citations

  7. Boston University

    Boston, United States

    3 h-index

    3 publications

    55 citations

  8. University of Bristol

    Bristol, United Kingdom

    2 h-index

    2 publications

    54 citations

1–8 of 63

Venues

  1. Compositio Mathematica

    9 publications · 183 citations

    6

    h-index

  2. Inventiones mathematicae

    4 publications · 263 citations

    4

    h-index

  3. American Journal of Mathematics

    4 publications · 135 citations

    4

    h-index

  4. ArXiv.org

    Repository · 4 publications · 128 citations

    4

    h-index

  5. Journal of Number Theory

    3 publications · 104 citations

    3

    h-index

1–5