Preprint
Sep 2026
$\Kab$ has the Bogomolov property for canonical heights
We show that for any number field $K$ and any rational map $f$ in $K(x)$ that is not conjugate to a power, (signed) Chebyshev or Latt\`es map, then $K^{\mathrm{ab}}$ has the strong Bogomolov property for the canonical height of $f$. We also classify the pairs $(f,\alpha)$ whose backward orbit contains infinitely many a...
A. Ferraguti, Carlo Pagano
· 1 citation