论文标题
关于Kawaguchi-Silverman猜想的注释
A note on Kawaguchi-Silverman conjecture
论文作者
论文摘要
我们收集了有关与Kawaguchi-Silverman猜想相关的投射品种的内态性结果。我们讨论了针对射影品种的自动形态群体的某些条件，以及对自我形态的真正特征性的阳性条件。我们证明了Kawaguchi-Silverman的猜想，该猜想是对Picard第一的Fano品种的投影捆内构型的构态性。在最后一节中，我们讨论了其特征性的内态和增强基础基因座。
We collect some results on endomorphisms on projective varieties related with the Kawaguchi-Silverman conjecture. We discuss certain condition on automorphism groups of projective varieties and positivity conditions on leading real eigendivisors of self-morphisms. We prove Kawaguchi-Silverman conjecture for endomorphisms on projective bundles on a smooth Fano variety of Picard number one. In the last section, we discuss endomorphisms and augmented base loci of their eigendivisors.
