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Mathematical Sciences Classification System

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

• 5
  14G05
  Rational points
• 11
  14G10
  Zeta-functions and related questions [See also 11G40] (Birch-Swinnerton-Dyer conjecture)
• 6
  14G15
  Finite ground fields
• 1
  14G17
  Positive characteristic ground fields
• 3
  14G20
  Local ground fields
• 13
  14G22
  Rigid analytic geometry
• 1
  14G25
  Global ground fields
• 14G27
  Other nonalgebraically closed ground fields
• 14G32
  Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
• 13
  14G35
  Modular and Shimura varieties [See also 11F41, 11F46, 11G18]
• 5
  14G40
  Arithmetic varieties and schemes; Arakelov theory; heights [See also 11G50, 37P30]
• 31
  14G50
  Applications to coding theory and cryptography [See also 94A60, 94B27, 94B40]
• 1
  14G99
  None of the above, but in this section