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arxiv: math/0610472 · v1 · submitted 2006-10-16 · 🧮 math.AG

Mordell-Weil groups of a hyperk\"ahler manifold - a question of F. Campana

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keywords relationahleressentiallygroupshyperkmanifoldmordell-weilabelian
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Mordell-Weil groups of different abelian fibrations of a hyperk\"ahler manifold may have non-trivial relation even among elements of infinite order, but have essentially no relation, as its birational transformation. Precise definition of the terms "essentially no relation" will be given in Introduction.

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