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Model theory --- Arithmetical algebraic geometry --- Mordell conjecture --- Algebraic geometry [Arithmetical] --- Arithmetic algebraic geometry --- Conjecture, Mordell --- Diophantine geometry --- Geometry [Arithmetical algebraic] --- Geometry [Diophantine] --- Géométrie algébrique arithmétique --- Modeles [Theorie des ] --- Modellentheorie --- Mordell's conjecture --- Rekenkundige algebraïsche geometrie --- Rekenkundige algebraïsche meetkunde --- 512.75 --- 51 --- Curves, Algebraic --- Logic, Symbolic and mathematical --- Algebraic geometry, Arithmetical --- Geometry, Arithmetical algebraic --- Geometry, Diophantine --- Number theory --- 51 Mathematics --- Mathematics --- 512.75 Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions --- Arithmetic problems of algebraic varieties. Rationality questions. Zeta-functions --- Model theory. --- Arithmetical algebraic geometry. --- Mordell conjecture. --- Théorie des modèles --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- Algebraic geometry. --- Mathematical logic. --- Number theory. --- Algebraic Geometry. --- Mathematical Logic and Foundations. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Algebraic geometry --- Geometry