Polarized endomorphisms of Fano varieties with complements

Joaquín Moraga, José Ignacio Yáñez, Wern Yeong

Let $X$ be a Fano type variety and $(X,\Delta )$ be a log Calabi-Yau pair with $\Delta$ a Weil divisor. If $(X,\Delta )$ admits a polarized endomorphism, then we show that $(X,\Delta )$ is a finite quoti…