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Diophantine geometry. (English) Zbl 0115.38701
Interscience Tracts in Pure and Applied Mathematics. 11. New York and London: Interscience Publishers, a division of John Wiley and Sons. x, 170 pp. (1962).

MSC:
11Gxx Arithmetic algebraic geometry (Diophantine geometry)
14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry
11-02 Research exposition (monographs, survey articles) pertaining to number theory
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
11G10 Abelian varieties of dimension \(> 1\)
11G50 Heights
14G40 Arithmetic varieties and schemes; Arakelov theory; heights
14K15 Arithmetic ground fields for abelian varieties
11D41 Higher degree equations; Fermat’s equation
14G05 Rational points
12E25 Hilbertian fields; Hilbert’s irreducibility theorem