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  • 11-XX Number theory
  • 11Gxx Arithmetic algebraic geometry (Diophantine geometry)
  • 11G45 Geometric class field theory

11Gxx Arithmetic algebraic geometry (Diophantine geometry)

  • 11G05 Elliptic curves over global fields
  • 11G07 Elliptic curves over local fields
  • 11G09 Drinfeld modules; higher-dimensional motives, etc.
  • 11G10 Abelian varieties of dimension > 1
  • 11G15 Complex multiplication and moduli of abelian varieties
  • 11G16 Elliptic and modular units
  • 11G18 Arithmetic aspects of modular and Shimura varieties
  • 11G20 Curves over finite and local fields
  • 11G25 Varieties over finite and local fields
  • 11G30 Curves of arbitrary genus or genus ≠ 1 over global fields
  • 11G32 Dessins d'enfants, Belyĭ theory
  • 11G35 Varieties over global fields
  • 11G40 L -functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
  • 11G42 Arithmetic mirror symmetry
  • 11G45 Geometric class field theory
  • 11G50 Heights
  • 11G55 Polylogarithms and relations with K -theory
  • 11G99 None of the above, but in this section
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