14Gxx Arithmetic problems. Diophantine geometry [See also 11Dxx, 11Gxx]

14G05 Rational points
(1)
 14G10 Zetafunctions and related questions [See also 11G40] (Birch SwinnertonDyer conjecture)
 14G15 Finite ground fields
 14G17 Positive characteristic ground fields
 14G20 Local ground fields
 14G22 Rigid analytic geometry
 14G25 Global ground fields
 14G27 Other nonalgebraically closed ground fields
 14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
 14G35 Modular and Shimura varieties [See also 11F41, 11F46, 11G18]

14G40 Arithmetic varieties and schemes; Arakelov theory; heights [See also 11G50, 37P30]
(1)
 14G50 Applications to coding theory and cryptography [See also 94A60, 94B27, 94B40]
 14G99 None of the above, but in this section