Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

Jit Wu Yap, Tien-Cuong Dinh

Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f:X\to X$ a polarized endomorphism of degree $d\ge 2$. We prove an exponential lower bound on $[K(\Per_…