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Mathematical Sciences Classification System

11Gxx - Arithmetic algebraic geometry (Diophantine geometry)
[See also 11Dxx, 14Gxx, 14Kxx]

• 23
  11G05
  Elliptic curves over global fields [See also 14H52]
• 5
  11G07
  Elliptic curves over local fields [See also 14G20, 14H52]
• 5
  11G09
  Drinfel'd modules; higher-dimensional motives, etc. [See also 14L05]
• 5
  11G10
  Abelian varieties of dimension $> 1$ [See also 14Kxx]
• 2
  11G15
  Complex multiplication and moduli of abelian varieties [See also 14K22]
• 11G16
  Elliptic and modular units [See also 11R27]
• 11
  11G18
  Arithmetic aspects of modular and Shimura varieties [See also 14G35]
• 7
  11G20
  Curves over finite and local fields [See also 14H25]
• 5
  11G25
  Varieties over finite and local fields [See also 14G15, 14G20]
• 1
  11G30
  Curves of arbitrary genus or genus $\ne 1$ over global fields [See also 14H25]
• 2
  11G32
  Dessins d'enfants, Belyĭ theory
• 5
  11G35
  Varieties over global fields [See also 14G25]
• 2
  11G40
  $L$-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also 14G10]
• 1
  11G42
  Arithmetic mirror symmetry [See also 14J33]
• 11G45
  Geometric class field theory [See also 11R37, 14C35, 19F05]
• 5
  11G50
  Heights [See also 14G40, 37P30]
• 1
  11G55
  Polylogarithms and relations with $K$-theory
• 1
  11G99
  None of the above, but in this section