Log Calabi-Yau structure of algebaic varieties admitting a polarized endomorphism

Wentao Chang, De-Qi Zhang

Let $X$ be a normal projective variety admitting a polarized endomorphism $f$, i.e., $f^{\ast }H\sim qH$ for some ample divisor $H$ and integer $q>1$. Then Broustet and Gongyo proposed t…