Density of Orbits of Dominant Regular Self-maps of Semiabelian Varieties
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چکیده
We prove a conjecture of Medvedev and Scanlon [MS14] in the case of regular morphisms of semiabelian varieties. That is, if G is a semiabelian variety defined over an algebraically closed field K of characteristic 0, and φ : G → G is a dominant regular self-map of G which is not necessarily a group homomorphism, we prove that one of the following holds: either there exists a non-constant rational fibration preserved by φ, or there exists a point x ∈ G(K) whose φ-orbit is Zariski dense in G.
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تاریخ انتشار 2017