Abstract
Let X be an algebraic variety defined over C, let α∈X(C) and Φ:X⟶X be a morphism. The Dynamical Mordell-Lang conjecture describes the intersection of an orbit OrbΦ(α) with a closed subvariety of X. In this paper, we study the intersections of orbits in polynomial dynamics. In particular, various upper bounds are derived for the orbit intersection problem when X is an affine n-space and self maps are polynomial morphisms of special type.
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