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

5 votes
2 answers
362 views

The inverse Torsion Mordell-Weil problem

Let $G$ be a finite abelian group. Is there a field $K$, and an elliptic curve $E$ over $K$ such that $E(K)_{tor} \cong G$?
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