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Zbl 0869.11051
Lang, Serge
Survey of diophantine geometry. Transl. from the Russian. Corr. 2nd printing. (English)
[B] Berlin: Springer. xi, 298 p. DM 78.00; öS 569.40; sFr. 69.00 (1997). ISBN 3-540-61223-8/pbk

See the review of the original ed. (1991) in Zbl 0744.14012.

MSC 2000:: *11Gxx Arithmetic algebraic geometry (Diophantine geometry)
11-02 Research monographs (number theory)
14Gxx Special ground fields, arithmetic problems
14-02 Research monographs (algebraic geometry)
11G05 Elliptic curves over global fields
11G10 Abelian varieties of dimension $>1$
11G40 L-functions of varieties over global fields
11Dxx Diophantine equations
14G05 Rationality questions, rational points
14G40 Arithmetic varieties and schemes
14H52 Elliptic curves
14G25 Global ground fields
14G10 Zeta-functions and related questions
14K15 Arithmetic ground fields (abelian varieties)
11J82 Measures of irrationality and of transcendence

Keywords: diophantine geometry; arithmetic algebraic geometry; Mordell conjecture; arithmetic Nevanlinna theory; Taniyama-Shimura-Weil conjecture; Heegner points; Arakelov theory; heights; diophantine approximation; Hasse principle; minimal isogenies between 1-motives; integral points; Birch-Swinnerton-Dyer conjecture

Citations: Zbl 0744.14012

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