$L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10] Abelian varieties Abelian varieties and schemes Abelian varieties of dimension $> 1$ [See also 14Kxx] Algebraic geometry Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] Arithmetic ground fields [See also 11Dxx, 11Fxx, 11G10, 14Gxx] Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx] Birch-Swinnerton-Dyer conjecture Conjecture de Birch-Swinnerton-Dyer Corps finis Courbes algébriques Curvas Curves of arbitrary genus or genus $\ne 1$ over global fields [See also 14H25] Curves, Algebraic Finite fields (Algebra) Fonctions de Legendre Geometría algebraica Global ground fields Jacobianos Jacobians Jacobiens Legendre's functions Number theory Points rationnels (Géométrie) Rational points Rational points (Geometry) Variedades abelianas Variétés abéliennes