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11Gxx

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Arithmetic algebraic geometry (Diophantine geometry)

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