Abstract
Let K be an algebraically closed field of characteristic zero and let A be a semiabelian variety defined over K. Let End(A) be the ring of endomorphisms of A. Let X ⊂ A be a subvariety of smaller dimension. We show that \(\bigcup_{f\in{\rm End}(A)} f(X(K))\) does not equal A(K). In particular, we may take K to be countable.
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