DAO for curves

Published 6 Feb 2023 in math.DS, math.AG, and math.NT | (2302.02583v2)

Abstract: We prove the Dynamical Andr\'e-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve. In fact, we prove a stronger result, which is a Bogomolov type generalization of DAO for curves.

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