Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture

Details Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture

2007-05-14

arxiv.org/abs/0705.1954v2

Inventiones Math. 171 (2008), 463--483

Mathematics

Number Theory

19 pages; to appear in Inventiones Mathematicae; in this version we modified the exposition in view of the referee's comments

Scientific paper

10.1007/s00222-007-0087-5

We prove that if nonlinear complex polynomials of the same degree have orbits
with infinite intersection, then the polynomials have a common iterate. We also
prove a special case of a conjectured dynamical analogue of the Mordell-Lang
conjecture.

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