论文标题
Fano四倍的Fano的内态性增强
Amplified endomorphisms of Fano fourfolds
论文作者
论文摘要
让$ x $成为平滑的Fano四倍,承认圆锥捆结构。我们表明,只有$ x $接受放大的内态性,$ x $是扭曲的;在这种情况下,$ x $是一个理性的品种。
Let $X$ be a smooth Fano fourfold admitting a conic bundle structure. We show that $X$ is toric if and only if $X$ admits an amplified endomorphism; in this case, $X$ is a rational variety.