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

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