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Moving subvarieties by endomorphisms
Authors:Oscar G Villareal
Institution:(1) Department of Mathematics, University of California at Irvine, 103 MSTB, Irvine, CA 92697, USA
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 XA 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.
Keywords:11G10  14L10  14G99
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