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Log Calabi–Yau Structure of Projective Threefolds Admitting Polarized Endomorphisms

Log Calabi–Yau Structure of Projective Threefolds Admitting Polarized Endomorphisms

Abstract Let $X$ be a normal projective variety admitting a polarized endomorphism $f$, that is, $f^*H\sim qH$ for some ample divisor $H$ and integer $q>1$. It was conjectured by Broustet and Gongyo that $X$ is of Calabi–Yau type, that is, $(X,\Delta )$ is lc for some effective ${\mathbb {Q}}$-divisor such …