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Diophantine equations, elliptic curvesrational points, Mordell conjectureabelian varieties, Arakelov theory, Iwasawa theory, Mochizuki theory.

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, Mochizuki theory.

Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, ..Mochizuki theory.

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, ...

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, Mochizuki theory.

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, ...

Diophantine equations, elliptic curves, Mordell conjecture, Arakelov theory, Iwasawa theory, ...

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