Arakelov theory Geometry, Algebraic Mordell conjecture Algebraic geometry Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Arithmetic varieties and schemes; Arakelov theory; heights Algebraic varieties Approximation theory Conjecture de Mordell Divisor theory Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Height functions; Green functions; invariant measures MATHEMATICS / Number Theory Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights Topological groups Algebraic Geometry Arithmetic algebraic geometry (Diophantine geometry) Arithmetic and non-Archimedean dynamical systems Arithmetic problems. Diophantine geometry Arithmetic varieties and schemes; Arakelov theory; heights Arithmetical algebraic geometry Commutative Rings and Algebras Commutative algebra Commutative rings Curves, Algebraic Dynamical systems and ergodic theory Functional Analysis Functional analysis Height functions; Green functions; invariant measures Heights Number theory Th<U+fffd>eorie d'Arakelov