论文标题
Fano纤维的结构，该品种承认内态的插入式内态性
Structure of Fano fibrations of varieties admitting an int-amplified endomorphism
论文作者
论文摘要
在本文中，我们研究了承认内态性内态性质的Fano纤维纤维的结构。我们证明，如果一个普通的$ \ mathbb {q} $ - fortorial klt投射品种$ x $具有内在的内态性，那么在codimension中存在一个有限的形态$ \ widetilde {x} \ to x $ x $ x $，以至于x $如此，以至于x $ acte x $ fane valter and fano tyver and fano tyver ys fano tyver and and fano fano tyver。作为推论，如果我们进一步假设$ x $是平稳且合理地连接的，那么$ x $就是fano型。
In this paper, we study the structure of Fano fibrations of varieties admitting an int-amplified endomorphism. We prove that if a normal $\mathbb{Q}$-factorial klt projective variety $X$ has an int-amplified endomorphism, then there exists an étale in codimension one finite morphism $\widetilde{X} \to X$ such that $\widetilde{X}$ is of Fano type over its albanese variety. As a corollary, if we further assume that $X$ is smooth and rationally connected, then $X$ is of Fano type.
