科研之友
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摘要
Let X be a normal projective variety admitting a polarized endomorphism f, that is, f*H similar to 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 Q-divisor such that K-X + Delta similar to(Q) 0. In this paper, we establish a general guideline based on the equivariant minimal model program and the canonical bundle formula. In this way, we prove the conjecture when X is a smooth projective threefold.
