Mordell–Weil theorem
Teorema de Mordell-Weil
- Date
- 1922 (Mordell) / 1929 (Weil) · confidence high
- Place
- Paris, Île-de-France, France
- Credited to
- André Weil y Louis J. Mordell
- Field
- Knowledge & symbols
What was discovered
A theorem stating that, for an abelian variety defined over a number field, the group of its rational points is a finitely generated abelian group; formulated by Louis Mordell for elliptic curves over the rationals (1922) and generalized by André Weil to abelian varieties (1929).
What it led to
- Foundational result in arithmetic geometry
- Basis for the study of the rank of elliptic curves
- Central to the Birch and Swinnerton-Dyer conjecture and the proof of Fermat's Last Theorem