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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Sections of morphisms of schemes up to a finite morphism
Let $f:X\longrightarrow S$ be a flat projective morphism of regular integral noetherian schemes such that that the generic fibre $X_\eta\longrightarrow K(S)$ is a smooth projective connected curve ove …