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Survey of diophantine geometry. Transl. from the Russian. Corr. 2nd printing. (English) Zbl 0869.11051
Berlin: Springer. xi, 298 p. (1997).
See the review of the original ed. (1991) in Zbl 0744.14012.

11Gxx Arithmetic algebraic geometry (Diophantine geometry)
11-02 Research exposition (monographs, survey articles) pertaining to number theory
14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
11G05 Elliptic curves over global fields
11G10 Abelian varieties of dimension \(> 1\)
11G40 \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture
11Dxx Diophantine equations
14G05 Rational points
14G40 Arithmetic varieties and schemes; Arakelov theory; heights
14H52 Elliptic curves
14G25 Global ground fields in algebraic geometry
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14K15 Arithmetic ground fields for abelian varieties
11J82 Measures of irrationality and of transcendence